jscaux
/
pqed_html
Watch 1
Star 0
Fork 0
Code Issues 0 Pull Requests 0 Releases 0 Wiki Activity
Browse Source

Update 2022-03-01 08:15

master
Jean-Sébastien 2 years ago
parent
ead639cf67
commit
ac1e628013
100 changed files with 380 additions and 363 deletions
Split View Show Diff Stats
  1. 2
    2
      build/a.html
  2. 2
    2
      build/a_l.html
  3. 2
    2
      build/c.html
  4. 2
    2
      build/c_m.html
  5. 2
    2
      build/c_m_cs.html
  6. 8
    8
      build/c_m_cs_cyl.html
  7. 2
    2
      build/c_m_cs_hyp.html
  8. 18
    18
      build/c_m_cs_sph.html
  9. 2
    2
      build/c_m_dc.html
  10. 2
    2
      build/c_m_dc_curl.html
  11. 19
    19
      build/c_m_dc_d2.html
  12. 2
    2
      build/c_m_dc_del.html
  13. 2
    2
      build/c_m_dc_div.html
  14. 2
    2
      build/c_m_dc_g.html
  15. 14
    14
      build/c_m_dc_pr.html
  16. 2
    2
      build/c_m_dd.html
  17. 2
    2
      build/c_m_dd_1d.html
  18. 8
    8
      build/c_m_dd_3d.html
  19. 2
    2
      build/c_m_dd_div.html
  20. 2
    2
      build/c_m_ic.html
  21. 2
    2
      build/c_m_ic_ftc.html
  22. 2
    2
      build/c_m_ic_ftg.html
  23. 2
    2
      build/c_m_ic_gauss.html
  24. 2
    2
      build/c_m_ic_ip.html
  25. 11
    11
      build/c_m_ic_lsv.html
  26. 4
    4
      build/c_m_ic_stokes.html
  27. 2
    2
      build/c_m_uf.html
  28. 2
    2
      build/c_m_uf_cyl.html
  29. 2
    2
      build/c_m_uf_sph.html
  30. 2
    2
      build/c_m_uf_vi.html
  31. 2
    2
      build/c_m_va.html
  32. 2
    2
      build/c_m_va_cp.html
  33. 2
    2
      build/c_m_va_n.html
  34. 2
    2
      build/c_m_va_pds.html
  35. 2
    2
      build/c_m_va_sp.html
  36. 2
    2
      build/c_m_va_tp.html
  37. 2
    2
      build/c_m_vf.html
  38. 2
    2
      build/c_m_vf_helm.html
  39. 2
    2
      build/c_m_vf_pot.html
  40. 4
    4
      build/d.html
  41. 2
    2
      build/d_emd.html
  42. 2
    2
      build/d_emd_ce.html
  43. 2
    2
      build/d_emd_emw.html
  44. 2
    2
      build/d_emf.html
  45. 2
    2
      build/d_ems.html
  46. 2
    2
      build/d_ems_ca.html
  47. 2
    2
      build/d_ems_ms.html
  48. 2
    2
      build/d_emsm.html
  49. 2
    2
      build/d_emsm_msm.html
  50. 2
    2
      build/d_m.html
  51. 2
    2
      build/d_red.html
  52. 6
    6
      build/emd.html
  53. 2
    2
      build/emd_Fl.html
  54. 5
    5
      build/emd_Fl_Fl.html
  55. 22
    5
      build/emd_Fl_e.html
  56. 5
    5
      build/emd_Fl_i.html
  57. 5
    5
      build/emd_Fl_ief.html
  58. 2
    2
      build/emd_Me.html
  59. 5
    5
      build/emd_Me_Me.html
  60. 4
    4
      build/emd_Me_dc.html
  61. 2
    2
      build/emd_Me_ebM.html
  62. 2
    2
      build/emd_Me_mc.html
  63. 6
    6
      build/emd_ce.html
  64. 3
    3
      build/emd_ce_amom.html
  65. 3
    3
      build/emd_ce_ce.html
  66. 4
    4
      build/emd_ce_mom.html
  67. 5
    5
      build/emd_ce_mst.html
  68. 8
    8
      build/emd_ce_poy.html
  69. 6
    6
      build/emd_emw.html
  70. 4
    4
      build/emd_emw_ep.html
  71. 3
    3
      build/emd_emw_mpw.html
  72. 3
    3
      build/emd_emw_we.html
  73. 2
    2
      build/emdm.html
  74. 2
    2
      build/emdm_Me.html
  75. 10
    10
      build/emdm_Me_Mem.html
  76. 3
    3
      build/emdm_Me_bc.html
  77. 2
    2
      build/emdm_emwm.html
  78. 2
    2
      build/emdm_emwm_ad.html
  79. 2
    2
      build/emdm_emwm_ad_c.html
  80. 3
    3
      build/emdm_emwm_plm.html
  81. 2
    2
      build/emdm_emwm_refl.html
  82. 2
    2
      build/emdm_emwm_refl_Ba.html
  83. 2
    2
      build/emdm_emwm_refl_Fe.html
  84. 2
    2
      build/emdm_emwm_refl_ni.html
  85. 6
    6
      build/emdm_emwm_refl_oi.html
  86. 2
    2
      build/emdm_emwm_refr.html
  87. 2
    2
      build/emdm_emwm_wg.html
  88. 2
    2
      build/emdm_emwm_wg_c.html
  89. 2
    2
      build/emdm_emwm_wg_gw.html
  90. 2
    2
      build/emdm_emwm_wg_r.html
  91. 6
    6
      build/emf.html
  92. 2
    2
      build/emf_g.html
  93. 2
    2
      build/emf_g_Cg.html
  94. 4
    4
      build/emf_g_Lg.html
  95. 6
    6
      build/emf_svp.html
  96. 2
    2
      build/ems.html
  97. 6
    6
      build/ems_ca.html
  98. 6
    6
      build/ems_ca_fe.html
  99. 19
    19
      build/ems_ca_fe_L.html
  100. 0
    0
      build/ems_ca_fe_g.html

+ 2
- 2
build/a.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1645,7 +1645,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1645 1645 
 </div>
1646 1646 
 <div id="postamble" class="status">
1647 1647 
 <p class="author">Author: Jean-Sébastien Caux</p>
1648 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1648 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1649 1649 
 <p class="validation"></p>
1650 1650 
 </div>
1651 1651

+ 2
- 2
build/a_l.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1728,7 +1728,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1728 1728 
 </div>
1729 1729 
 <div id="postamble" class="status">
1730 1730 
 <p class="author">Author: Jean-Sébastien Caux</p>
1731 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1731 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1732 1732 
 <p class="validation"></p>
1733 1733 
 </div>
1734 1734

+ 2
- 2
build/c.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1645,7 +1645,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1645 1645 
 </div>
1646 1646 
 <div id="postamble" class="status">
1647 1647 
 <p class="author">Author: Jean-Sébastien Caux</p>
1648 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1648 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1649 1649 
 <p class="validation"></p>
1650 1650 
 </div>
1651 1651

+ 2
- 2
build/c_m.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1651,7 +1651,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1651 1651 
 </div>
1652 1652 
 <div id="postamble" class="status">
1653 1653 
 <p class="author">Author: Jean-Sébastien Caux</p>
1654 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1654 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1655 1655 
 <p class="validation"></p>
1656 1656 
 </div>
1657 1657

+ 2
- 2
build/c_m_cs.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1647,7 +1647,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1647 1647 
 </div>
1648 1648 
 <div id="postamble" class="status">
1649 1649 
 <p class="author">Author: Jean-Sébastien Caux</p>
1650 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1650 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1651 1651 
 <p class="validation"></p>
1652 1652 
 </div>
1653 1653

+ 8
- 8
build/c_m_cs_cyl.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1667,14 +1667,14 @@ Range of parameters:  \(r \in [0, \infty[\), \(\varphi \in [0, 2\pi[\) and \(z \
1667 1667 
 <div id="outline-container-c_m_cs_cyl_grad" class="outline-6">
1668 1668 
 <h6 id="c_m_cs_cyl_grad"><a href="#c_m_cs_cyl_grad">Gradient</a></h6>
1669 1669 
 <div class="outline-text-6" id="text-c_m_cs_cyl_grad">
1670 
-<div class="eqlabel" id="org5189029">
1670 
+<div class="eqlabel" id="org5cf5791">
1671 1671 
 <p>
1672 1672 
 <a id="cylgrad"></a><a href="./c_m_cs_cyl.html#cylgrad"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1673 1673 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1674 1674 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1675 1675 
 </svg></a>
1676 1676 
 </p>
1677 
-<div class="alteqlabels" id="org04b2fad">
1677 
+<div class="alteqlabels" id="org8187762">
1678 1678 
 <ul class="org-ul">
1679 1679 
 <li>Gr4(1.79)</li>
1680 1680 
 </ul>
 
@@ -1695,14 +1695,14 @@ Range of parameters:  \(r \in [0, \infty[\), \(\varphi \in [0, 2\pi[\) and \(z \
1695 1695 
 <div id="outline-container-c_m_cs_cyl_div" class="outline-6">
1696 1696 
 <h6 id="c_m_cs_cyl_div"><a href="#c_m_cs_cyl_div">Divergence</a></h6>
1697 1697 
 <div class="outline-text-6" id="text-c_m_cs_cyl_div">
1698 
-<div class="eqlabel" id="orgecdf384">
1698 
+<div class="eqlabel" id="org710d9bc">
1699 1699 
 <p>
1700 1700 
 <a id="cyl_div"></a><a href="./c_m_cs_cyl.html#cyl_div"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1701 1701 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1702 1702 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1703 1703 
 </svg></a>
1704 1704 
 </p>
1705 
-<div class="alteqlabels" id="orgb24faa6">
1705 
+<div class="alteqlabels" id="org9273252">
1706 1706 
 <ul class="org-ul">
1707 1707 
 <li>Gr4(2.21)</li>
1708 1708 
 </ul>
 
@@ -1723,14 +1723,14 @@ Range of parameters:  \(r \in [0, \infty[\), \(\varphi \in [0, 2\pi[\) and \(z \
1723 1723 
 <div id="outline-container-c_m_cs_cyl_curl" class="outline-6">
1724 1724 
 <h6 id="c_m_cs_cyl_curl"><a href="#c_m_cs_cyl_curl">Curl</a></h6>
1725 1725 
 <div class="outline-text-6" id="text-c_m_cs_cyl_curl">
1726 
-<div class="eqlabel" id="orgdad7eec">
1726 
+<div class="eqlabel" id="orgc433f93">
1727 1727 
 <p>
1728 1728 
 <a id="cyl_curl"></a><a href="./c_m_cs_cyl.html#cyl_curl"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1729 1729 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1730 1730 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1731 1731 
 </svg></a>
1732 1732 
 </p>
1733 
-<div class="alteqlabels" id="orgc696d67">
1733 
+<div class="alteqlabels" id="orgd149afb">
1734 1734 
 <ul class="org-ul">
1735 1735 
 <li>Gr4(2.21)</li>
1736 1736 
 </ul>
 
@@ -1779,7 +1779,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1779 1779 
 </div>
1780 1780 
 <div id="postamble" class="status">
1781 1781 
 <p class="author">Author: Jean-Sébastien Caux</p>
1782 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1782 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1783 1783 
 <p class="validation"></p>
1784 1784 
 </div>
1785 1785

+ 2
- 2
build/c_m_cs_hyp.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1640,7 +1640,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1640 1640 
 </div>
1641 1641 
 <div id="postamble" class="status">
1642 1642 
 <p class="author">Author: Jean-Sébastien Caux</p>
1643 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1643 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1644 1644 
 <p class="validation"></p>
1645 1645 
 </div>
1646 1646

+ 18
- 18
build/c_m_cs_sph.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1631,14 +1631,14 @@ which \(r\) is the distance from the chosen origin,
1631 1631 
 The usual Cartesian coordinates relate to spherical coordinates
1632 1632 
 according to
1633 1633 
 </p>
1634 
-<div class="eqlabel" id="org082384f">
1634 
+<div class="eqlabel" id="org9ccc564">
1635 1635 
 <p>
1636 1636 
 <a id="sph_xyz"></a><a href="./c_m_cs_sph.html#sph_xyz"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1637 1637 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1638 1638 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1639 1639 
 </svg></a>
1640 1640 
 </p>
1641 
-<div class="alteqlabels" id="org292e1da">
1641 
+<div class="alteqlabels" id="org7f8648f">
1642 1642
1643 1643 
 </div>
1644 1644 
 
@@ -1663,14 +1663,14 @@ A generic vector can be expressed as
1663 1663 
 where the explicit relation between spherical and
1664 1664 
 Cartesian unit vectors is
1665 1665 
 </p>
1666 
-<div class="eqlabel" id="orgfae6fd4">
1666 
+<div class="eqlabel" id="org5529443">
1667 1667 
 <p>
1668 1668 
 <a id="sph_uv"></a><a href="./c_m_cs_sph.html#sph_uv"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1669 1669 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1670 1670 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1671 1671 
 </svg></a>
1672 1672 
 </p>
1673 
-<div class="alteqlabels" id="orga39ef1c">
1673 
+<div class="alteqlabels" id="orge91c3eb">
1674 1674
1675 1675 
 </div>
1676 1676 
 
@@ -1693,14 +1693,14 @@ and \(\hat{\boldsymbol \varphi} (\theta, \varphi)\).
1693 1693 
 <p>
1694 1694 
 An infinitesimal displacement \(d{\bf l}\) can be written as
1695 1695 
 </p>
1696 
-<div class="eqlabel" id="orgd89e9ad">
1696 
+<div class="eqlabel" id="orga22710f">
1697 1697 
 <p>
1698 1698 
 <a id="sph_dl"></a><a href="./c_m_cs_sph.html#sph_dl"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1699 1699 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1700 1700 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1701 1701 
 </svg></a>
1702 1702 
 </p>
1703 
-<div class="alteqlabels" id="orga6ac01a">
1703 
+<div class="alteqlabels" id="org31d976f">
1704 1704
1705 1705 
 </div>
1706 1706 
 
@@ -1716,14 +1716,14 @@ d{\bf l} = dr ~\hat{\boldsymbol r} + r d\theta ~\hat{\boldsymbol \theta} + r\sin
1716 1716 
 <p>
1717 1717 
 Infinitesimal volume element:
1718 1718 
 </p>
1719 
-<div class="eqlabel" id="orgad9d14d">
1719 
+<div class="eqlabel" id="org824a5cb">
1720 1720 
 <p>
1721 1721 
 <a id="sph_dtau"></a><a href="./c_m_cs_sph.html#sph_dtau"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1722 1722 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1723 1723 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1724 1724 
 </svg></a>
1725 1725 
 </p>
1726 
-<div class="alteqlabels" id="org57ba9f6">
1726 
+<div class="alteqlabels" id="org9e40179">
1727 1727
1728 1728 
 </div>
1729 1729 
 
@@ -1744,14 +1744,14 @@ Infinitesimal surface element:  depends on situation.
1744 1744 
 <div id="outline-container-c_m_cs_sph_grad" class="outline-6">
1745 1745 
 <h6 id="c_m_cs_sph_grad"><a href="#c_m_cs_sph_grad">Gradient</a></h6>
1746 1746 
 <div class="outline-text-6" id="text-c_m_cs_sph_grad">
1747 
-<div class="eqlabel" id="orgce80236">
1747 
+<div class="eqlabel" id="orgd062ca2">
1748 1748 
 <p>
1749 1749 
 <a id="sph_grad"></a><a href="./c_m_cs_sph.html#sph_grad"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1750 1750 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1751 1751 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1752 1752 
 </svg></a>
1753 1753 
 </p>
1754 
-<div class="alteqlabels" id="orgc254698">
1754 
+<div class="alteqlabels" id="org776b74f">
1755 1755
1756 1756 
 </div>
1757 1757 
 
@@ -1768,14 +1768,14 @@ Infinitesimal surface element:  depends on situation.
1768 1768 
 <div id="outline-container-c_m_cs_sph_div" class="outline-6">
1769 1769 
 <h6 id="c_m_cs_sph_div"><a href="#c_m_cs_sph_div">Divergence</a></h6>
1770 1770 
 <div class="outline-text-6" id="text-c_m_cs_sph_div">
1771 
-<div class="eqlabel" id="org4495058">
1771 
+<div class="eqlabel" id="orgbff4022">
1772 1772 
 <p>
1773 1773 
 <a id="sph_div"></a><a href="./c_m_cs_sph.html#sph_div"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1774 1774 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1775 1775 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1776 1776 
 </svg></a>
1777 1777 
 </p>
1778 
-<div class="alteqlabels" id="org2548f95">
1778 
+<div class="alteqlabels" id="orgd13f0a2">
1779 1779
1780 1780 
 </div>
1781 1781 
 
@@ -1792,14 +1792,14 @@ Infinitesimal surface element:  depends on situation.
1792 1792 
 <div id="outline-container-c_m_cs_sph_curl" class="outline-6">
1793 1793 
 <h6 id="c_m_cs_sph_curl"><a href="#c_m_cs_sph_curl">Curl</a></h6>
1794 1794 
 <div class="outline-text-6" id="text-c_m_cs_sph_curl">
1795 
-<div class="eqlabel" id="org2fb26ff">
1795 
+<div class="eqlabel" id="org4bf1642">
1796 1796 
 <p>
1797 1797 
 <a id="sph_curl"></a><a href="./c_m_cs_sph.html#sph_curl"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1798 1798 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1799 1799 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1800 1800 
 </svg></a>
1801 1801 
 </p>
1802 
-<div class="alteqlabels" id="org267c962">
1802 
+<div class="alteqlabels" id="orge688a5a">
1803 1803
1804 1804 
 </div>
1805 1805 
 
@@ -1818,14 +1818,14 @@ Infinitesimal surface element:  depends on situation.
1818 1818 
 <div id="outline-container-c_m_cs_sph_lap" class="outline-6">
1819 1819 
 <h6 id="c_m_cs_sph_lap"><a href="#c_m_cs_sph_lap">Laplacian</a></h6>
1820 1820 
 <div class="outline-text-6" id="text-c_m_cs_sph_lap">
1821 
-<div class="eqlabel" id="org108e271">
1821 
+<div class="eqlabel" id="org66b8a68">
1822 1822 
 <p>
1823 1823 
 <a id="sph_Lap"></a><a href="./c_m_cs_sph.html#sph_Lap"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1824 1824 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1825 1825 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1826 1826 
 </svg></a>
1827 1827 
 </p>
1828 
-<div class="alteqlabels" id="org65156f6">
1828 
+<div class="alteqlabels" id="org25a1307">
1829 1829
1830 1830 
 </div>
1831 1831 
 
@@ -1859,7 +1859,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1859 1859 
 </div>
1860 1860 
 <div id="postamble" class="status">
1861 1861 
 <p class="author">Author: Jean-Sébastien Caux</p>
1862 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1862 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1863 1863 
 <p class="validation"></p>
1864 1864 
 </div>
1865 1865

+ 2
- 2
build/c_m_dc.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1650,7 +1650,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1650 1650 
 </div>
1651 1651 
 <div id="postamble" class="status">
1652 1652 
 <p class="author">Author: Jean-Sébastien Caux</p>
1653 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1653 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1654 1654 
 <p class="validation"></p>
1655 1655 
 </div>
1656 1656

+ 2
- 2
build/c_m_dc_curl.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1652,7 +1652,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1652 1652 
 </div>
1653 1653 
 <div id="postamble" class="status">
1654 1654 
 <p class="author">Author: Jean-Sébastien Caux</p>
1655 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1655 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1656 1656 
 <p class="validation"></p>
1657 1657 
 </div>
1658 1658

+ 19
- 19
build/c_m_dc_d2.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1623,9 +1623,9 @@ Table of contents
1623 1623 
 <div class="outline-text-5" id="text-c_m_dc_d2">
1624 1624 
 </div>
1625 1625
1626 
-<div id="outline-container-org2f2fb63" class="outline-6">
1627 
-<h6 id="org2f2fb63"><a href="#org2f2fb63">Divergence of gradient</a></h6>
1628 
-<div class="outline-text-6" id="text-org2f2fb63">
1626 
+<div id="outline-container-org27b21d4" class="outline-6">
1627 
+<h6 id="org27b21d4"><a href="#org27b21d4">Divergence of gradient</a></h6>
1628 
+<div class="outline-text-6" id="text-org27b21d4">
1629 1629 
 <p>
1630 1630 
 \({\boldsymbol \nabla} \cdot ({\boldsymbol \nabla} T) \equiv {\boldsymbol \nabla}^2 T\) is called the <b>Laplacian</b> of the scalar field \(T\).
1631 1631 
 The Laplacian of a vector field \({\boldsymbol \nabla}^2 {\bf v}\) is also defined as the vector with components
 
@@ -1634,44 +1634,44 @@ given by the Laplacian of the corresponding vector elements.
1634 1634 
 </div>
1635 1635 
 </div>
1636 1636
1637 
-<div id="outline-container-org7940ce1" class="outline-6">
1638 
-<h6 id="org7940ce1"><a href="#org7940ce1">Curl of a gradient</a></h6>
1639 
-<div class="outline-text-6" id="text-org7940ce1">
1637 
+<div id="outline-container-org8ab79ed" class="outline-6">
1638 
+<h6 id="org8ab79ed"><a href="#org8ab79ed">Curl of a gradient</a></h6>
1639 
+<div class="outline-text-6" id="text-org8ab79ed">
1640 1640 
 <p>
1641 1641 
 This always vanishes.
1642 1642 
 </p>
1643 1643 
 </div>
1644 1644 
 </div>
1645 1645
1646 
-<div id="outline-container-org8fc30e5" class="outline-6">
1647 
-<h6 id="org8fc30e5"><a href="#org8fc30e5">Gradient of the divergence</a></h6>
1648 
-<div class="outline-text-6" id="text-org8fc30e5">
1646 
+<div id="outline-container-org3af2976" class="outline-6">
1647 
+<h6 id="org3af2976"><a href="#org3af2976">Gradient of the divergence</a></h6>
1648 
+<div class="outline-text-6" id="text-org3af2976">
1649 1649 
 <p>
1650 1650 
 \({\boldsymbol \nabla} ({\boldsymbol \nabla} \cdot {\bf v})\) does not appear often in physics.  No special name.
1651 1651 
 </p>
1652 1652 
 </div>
1653 1653 
 </div>
1654 1654
1655 
-<div id="outline-container-org5323eef" class="outline-6">
1656 
-<h6 id="org5323eef"><a href="#org5323eef">Divergence of a curl</a></h6>
1657 
-<div class="outline-text-6" id="text-org5323eef">
1655 
+<div id="outline-container-orgb2afb29" class="outline-6">
1656 
+<h6 id="orgb2afb29"><a href="#orgb2afb29">Divergence of a curl</a></h6>
1657 
+<div class="outline-text-6" id="text-orgb2afb29">
1658 1658 
 <p>
1659 1659 
 This always vanishes.
1660 1660 
 </p>
1661 1661 
 </div>
1662 1662 
 </div>
1663 1663
1664 
-<div id="outline-container-org0c116f8" class="outline-6">
1665 
-<h6 id="org0c116f8"><a href="#org0c116f8">Curl of curl</a></h6>
1666 
-<div class="outline-text-6" id="text-org0c116f8">
1667 
-<div class="eqlabel" id="org51a12dc">
1664 
+<div id="outline-container-orgd5bfcaa" class="outline-6">
1665 
+<h6 id="orgd5bfcaa"><a href="#orgd5bfcaa">Curl of curl</a></h6>
1666 
+<div class="outline-text-6" id="text-orgd5bfcaa">
1667 
+<div class="eqlabel" id="org4a8e6af">
1668 1668 
 <p>
1669 1669 
 <a id="curlcurl"></a><a href="./c_m_dc_d2.html#curlcurl"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1670 1670 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1671 1671 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1672 1672 
 </svg></a>
1673 1673 
 </p>
1674 
-<div class="alteqlabels" id="orge1da3d2">
1674 
+<div class="alteqlabels" id="org8cfc576">
1675 1675
1676 1676 
 </div>
1677 1677 
 
@@ -1702,7 +1702,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1702 1702 
 </div>
1703 1703 
 <div id="postamble" class="status">
1704 1704 
 <p class="author">Author: Jean-Sébastien Caux</p>
1705 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1705 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1706 1706 
 <p class="validation"></p>
1707 1707 
 </div>
1708 1708

+ 2
- 2
build/c_m_dc_del.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1651,7 +1651,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1651 1651 
 </div>
1652 1652 
 <div id="postamble" class="status">
1653 1653 
 <p class="author">Author: Jean-Sébastien Caux</p>
1654 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1654 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1655 1655 
 <p class="validation"></p>
1656 1656 
 </div>
1657 1657

+ 2
- 2
build/c_m_dc_div.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1648,7 +1648,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1648 1648 
 </div>
1649 1649 
 <div id="postamble" class="status">
1650 1650 
 <p class="author">Author: Jean-Sébastien Caux</p>
1651 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1651 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1652 1652 
 <p class="validation"></p>
1653 1653 
 </div>
1654 1654

+ 2
- 2
build/c_m_dc_g.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1672,7 +1672,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1672 1672 
 </div>
1673 1673 
 <div id="postamble" class="status">
1674 1674 
 <p class="author">Author: Jean-Sébastien Caux</p>
1675 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1675 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1676 1676 
 <p class="validation"></p>
1677 1677 
 </div>
1678 1678

+ 14
- 14
build/c_m_dc_pr.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1630,14 +1630,14 @@ explicited as follows:
1630 1630 
 <p>
1631 1631 
 <b>Gradient of a product</b>:
1632 1632 
 </p>
1633 
-<div class="eqlabel" id="orgfc34aae">
1633 
+<div class="eqlabel" id="org7ccb680">
1634 1634 
 <p>
1635 1635 
 <a id="grad_prod"></a><a href="./c_m_dc_pr.html#grad_prod"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1636 1636 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1637 1637 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1638 1638 
 </svg></a>
1639 1639 
 </p>
1640 
-<div class="alteqlabels" id="org0981207">
1640 
+<div class="alteqlabels" id="orga7c6aac">
1641 1641 
 <ul class="org-ul">
1642 1642 
 <li>Gr (3)</li>
1643 1643 
 <li>W (1-111)</li>
 
@@ -1657,14 +1657,14 @@ explicited as follows:
1657 1657 
 <p>
1658 1658 
 <b>Gradient of a scalar product</b>:
1659 1659 
 </p>
1660 
-<div class="eqlabel" id="org1897a2b">
1660 
+<div class="eqlabel" id="orgbe6a82f">
1661 1661 
 <p>
1662 1662 
 <a id="grad_sprod"></a><a href="./c_m_dc_pr.html#grad_sprod"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1663 1663 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1664 1664 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1665 1665 
 </svg></a>
1666 1666 
 </p>
1667 
-<div class="alteqlabels" id="orgd1aefe7">
1667 
+<div class="alteqlabels" id="orgc2565bd">
1668 1668 
 <ul class="org-ul">
1669 1669 
 <li>Gr (4)</li>
1670 1670 
 <li>W (1-112)</li>
 
@@ -1684,14 +1684,14 @@ explicited as follows:
1684 1684 
 <p>
1685 1685 
 <b>Divergence of a product</b>:
1686 1686 
 </p>
1687 
-<div class="eqlabel" id="orgd81e567">
1687 
+<div class="eqlabel" id="org2591737">
1688 1688 
 <p>
1689 1689 
 <a id="div_prod"></a><a href="./c_m_dc_pr.html#div_prod"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1690 1690 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1691 1691 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1692 1692 
 </svg></a>
1693 1693 
 </p>
1694 
-<div class="alteqlabels" id="org11cd161">
1694 
+<div class="alteqlabels" id="orge3c89ac">
1695 1695 
 <ul class="org-ul">
1696 1696 
 <li>Gr (5)</li>
1697 1697 
 <li>W (1-115)</li>
 
@@ -1711,14 +1711,14 @@ explicited as follows:
1711 1711 
 <p>
1712 1712 
 <b>Divergence of a cross product</b>:
1713 1713 
 </p>
1714 
-<div class="eqlabel" id="orgac85f09">
1714 
+<div class="eqlabel" id="org37cc95b">
1715 1715 
 <p>
1716 1716 
 <a id="div_xprod"></a><a href="./c_m_dc_pr.html#div_xprod"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1717 1717 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1718 1718 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1719 1719 
 </svg></a>
1720 1720 
 </p>
1721 
-<div class="alteqlabels" id="org66c049b">
1721 
+<div class="alteqlabels" id="org0277164">
1722 1722 
 <ul class="org-ul">
1723 1723 
 <li>Gr (6)</li>
1724 1724 
 <li>W (1-116)</li>
 
@@ -1738,14 +1738,14 @@ explicited as follows:
1738 1738 
 <p>
1739 1739 
 <b>Curl of a product</b>:
1740 1740 
 </p>
1741 
-<div class="eqlabel" id="org18804f3">
1741 
+<div class="eqlabel" id="org980570b">
1742 1742 
 <p>
1743 1743 
 <a id="curl_prod"></a><a href="./c_m_dc_pr.html#curl_prod"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1744 1744 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1745 1745 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1746 1746 
 </svg></a>
1747 1747 
 </p>
1748 
-<div class="alteqlabels" id="org7cfdedf">
1748 
+<div class="alteqlabels" id="org92e3c88">
1749 1749 
 <ul class="org-ul">
1750 1750 
 <li>Gr (7)</li>
1751 1751 
 <li>W (1-118)</li>
 
@@ -1765,14 +1765,14 @@ explicited as follows:
1765 1765 
 <p>
1766 1766 
 <b>Curl of a cross product</b>:
1767 1767 
 </p>
1768 
-<div class="eqlabel" id="orgb314b2b">
1768 
+<div class="eqlabel" id="orga4932f1">
1769 1769 
 <p>
1770 1770 
 <a id="curl_xprod"></a><a href="./c_m_dc_pr.html#curl_xprod"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1771 1771 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1772 1772 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1773 1773 
 </svg></a>
1774 1774 
 </p>
1775 
-<div class="alteqlabels" id="org27d2d68">
1775 
+<div class="alteqlabels" id="org93712f0">
1776 1776 
 <ul class="org-ul">
1777 1777 
 <li>Gr (8)</li>
1778 1778 
 <li>W (1-119)</li>
 
@@ -1813,7 +1813,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1813 1813 
 </div>
1814 1814 
 <div id="postamble" class="status">
1815 1815 
 <p class="author">Author: Jean-Sébastien Caux</p>
1816 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1816 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1817 1817 
 <p class="validation"></p>
1818 1818 
 </div>
1819 1819

+ 2
- 2
build/c_m_dd.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1647,7 +1647,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1647 1647 
 </div>
1648 1648 
 <div id="postamble" class="status">
1649 1649 
 <p class="author">Author: Jean-Sébastien Caux</p>
1650 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1650 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1651 1651 
 <p class="validation"></p>
1652 1652 
 </div>
1653 1653

+ 2
- 2
build/c_m_dd_1d.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1659,7 +1659,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1659 1659 
 </div>
1660 1660 
 <div id="postamble" class="status">
1661 1661 
 <p class="author">Author: Jean-Sébastien Caux</p>
1662 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1662 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1663 1663 
 <p class="validation"></p>
1664 1664 
 </div>
1665 1665

+ 8
- 8
build/c_m_dd_3d.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1644,14 +1644,14 @@ Resolution of divergence of \(\hat{\bf r}/r^2\) paradox:
1644 1644 
 More generally,
1645 1645 
 </p>
1646 1646
1647 
-<div class="eqlabel" id="org0433d75">
1647 
+<div class="eqlabel" id="org21f3d7e">
1648 1648 
 <p>
1649 1649 
 <a id="divdel"></a><a href="./c_m_dd_3d.html#divdel"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1650 1650 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1651 1651 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1652 1652 
 </svg></a>
1653 1653 
 </p>
1654 
-<div class="alteqlabels" id="org68675a6">
1654 
+<div class="alteqlabels" id="orgeaacc49">
1655 1655 
 <ul class="org-ul">
1656 1656 
 <li>Gr (1.100)</li>
1657 1657 
 </ul>
 
@@ -1670,14 +1670,14 @@ More generally,
1670 1670 
 Since
1671 1671 
 </p>
1672 1672
1673 
-<div class="eqlabel" id="orgd02de7a">
1673 
+<div class="eqlabel" id="org2f9beaa">
1674 1674 
 <p>
1675 1675 
 <a id="div1or"></a><a href="./c_m_dd_3d.html#div1or"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1676 1676 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1677 1677 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1678 1678 
 </svg></a>
1679 1679 
 </p>
1680 
-<div class="alteqlabels" id="orgc48b943">
1680 
+<div class="alteqlabels" id="org86371cb">
1681 1681 
 <ul class="org-ul">
1682 1682 
 <li>Gr (1.101)</li>
1683 1683 
 </ul>
 
@@ -1693,14 +1693,14 @@ Since
1693 1693 
 <p>
1694 1694 
 we have that
1695 1695 
 </p>
1696 
-<div class="eqlabel" id="orgb494e7d">
1696 
+<div class="eqlabel" id="org77d9fa8">
1697 1697 
 <p>
1698 1698 
 <a id="Lap1or"></a><a href="./c_m_dd_3d.html#Lap1or"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1699 1699 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1700 1700 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1701 1701 
 </svg></a>
1702 1702 
 </p>
1703 
-<div class="alteqlabels" id="orgc599cf6">
1703 
+<div class="alteqlabels" id="org9d70b5c">
1704 1704 
 <ul class="org-ul">
1705 1705 
 <li>Gr (1.102)</li>
1706 1706 
 </ul>
 
@@ -1732,7 +1732,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1732 1732 
 </div>
1733 1733 
 <div id="postamble" class="status">
1734 1734 
 <p class="author">Author: Jean-Sébastien Caux</p>
1735 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1735 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1736 1736 
 <p class="validation"></p>
1737 1737 
 </div>
1738 1738

+ 2
- 2
build/c_m_dd_div.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1665,7 +1665,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1665 1665 
 </div>
1666 1666 
 <div id="postamble" class="status">
1667 1667 
 <p class="author">Author: Jean-Sébastien Caux</p>
1668 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1668 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1669 1669 
 <p class="validation"></p>
1670 1670 
 </div>
1671 1671

+ 2
- 2
build/c_m_ic.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1650,7 +1650,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1650 1650 
 </div>
1651 1651 
 <div id="postamble" class="status">
1652 1652 
 <p class="author">Author: Jean-Sébastien Caux</p>
1653 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1653 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1654 1654 
 <p class="validation"></p>
1655 1655 
 </div>
1656 1656

+ 2
- 2
build/c_m_ic_ftc.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1648,7 +1648,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1648 1648 
 </div>
1649 1649 
 <div id="postamble" class="status">
1650 1650 
 <p class="author">Author: Jean-Sébastien Caux</p>
1651 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1651 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1652 1652 
 <p class="validation"></p>
1653 1653 
 </div>
1654 1654

+ 2
- 2
build/c_m_ic_ftg.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1657,7 +1657,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1657 1657 
 </div>
1658 1658 
 <div id="postamble" class="status">
1659 1659 
 <p class="author">Author: Jean-Sébastien Caux</p>
1660 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1660 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1661 1661 
 <p class="validation"></p>
1662 1662 
 </div>
1663 1663

+ 2
- 2
build/c_m_ic_gauss.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1651,7 +1651,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1651 1651 
 </div>
1652 1652 
 <div id="postamble" class="status">
1653 1653 
 <p class="author">Author: Jean-Sébastien Caux</p>
1654 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1654 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1655 1655 
 <p class="validation"></p>
1656 1656 
 </div>
1657 1657

+ 2
- 2
build/c_m_ic_ip.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1658,7 +1658,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1658 1658 
 </div>
1659 1659 
 <div id="postamble" class="status">
1660 1660 
 <p class="author">Author: Jean-Sébastien Caux</p>
1661 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1661 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1662 1662 
 <p class="validation"></p>
1663 1663 
 </div>
1664 1664

+ 11
- 11
build/c_m_ic_lsv.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1623,9 +1623,9 @@ Table of contents
1623 1623 
 <div class="outline-text-5" id="text-c_m_ic_lsv">
1624 1624 
 </div>
1625 1625
1626 
-<div id="outline-container-orgde47b1c" class="outline-6">
1627 
-<h6 id="orgde47b1c"><a href="#orgde47b1c">Line Integrals</a></h6>
1628 
-<div class="outline-text-6" id="text-orgde47b1c">
1626 
+<div id="outline-container-org0446f34" class="outline-6">
1627 
+<h6 id="org0446f34"><a href="#org0446f34">Line Integrals</a></h6>
1628 
+<div class="outline-text-6" id="text-org0446f34">
1629 1629 
 <p>
1630 1630 
 \[
1631 1631 
 {\int_{\bf a}^{\bf b}}_{\cal P} {\bf v} \cdot d{\bf l}
 
@@ -1654,9 +1654,9 @@ Integral over a closed loop:
1654 1654 
 </div>
1655 1655 
 </div>
1656 1656
1657 
-<div id="outline-container-org5884ec7" class="outline-6">
1658 
-<h6 id="org5884ec7"><a href="#org5884ec7">Surface Integrals</a></h6>
1659 
-<div class="outline-text-6" id="text-org5884ec7">
1657 
+<div id="outline-container-org0cc3862" class="outline-6">
1658 
+<h6 id="org0cc3862"><a href="#org0cc3862">Surface Integrals</a></h6>
1659 
+<div class="outline-text-6" id="text-org0cc3862">
1660 1660 
 <p>
1661 1661 
 \[
1662 1662 
 \int_{\cal S} {\bf v} \cdot d{\bf a}
 
@@ -1676,9 +1676,9 @@ Over a closed surface:
1676 1676 
 </div>
1677 1677 
 </div>
1678 1678
1679 
-<div id="outline-container-org8682a2f" class="outline-6">
1680 
-<h6 id="org8682a2f"><a href="#org8682a2f">Volume Integrals</a></h6>
1681 
-<div class="outline-text-6" id="text-org8682a2f">
1679 
+<div id="outline-container-orga0f7b3b" class="outline-6">
1680 
+<h6 id="orga0f7b3b"><a href="#orga0f7b3b">Volume Integrals</a></h6>
1681 
+<div class="outline-text-6" id="text-orga0f7b3b">
1682 1682 
 <p>
1683 1683 
 \[
1684 1684 
 \int_{\cal V} T d\tau
 
@@ -1719,7 +1719,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1719 1719 
 </div>
1720 1720 
 <div id="postamble" class="status">
1721 1721 
 <p class="author">Author: Jean-Sébastien Caux</p>
1722 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1722 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1723 1723 
 <p class="validation"></p>
1724 1724 
 </div>
1725 1725

+ 4
- 4
build/c_m_ic_stokes.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1621,14 +1621,14 @@ Table of contents
1621 1621 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1622 1622 
 </svg></a><span class="headline-id">c.m.ic.stokes</span></h5>
1623 1623 
 <div class="outline-text-5" id="text-c_m_ic_stokes">
1624 
-<div class="eqlabel" id="org9270718">
1624 
+<div class="eqlabel" id="org2339b1e">
1625 1625 
 <p>
1626 1626 
 <a id="Stokes"></a><a href="./c_m_ic_stokes.html#Stokes"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1627 1627 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1628 1628 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1629 1629 
 </svg></a>
1630 1630 
 </p>
1631 
-<div class="alteqlabels" id="org2ffa281">
1631 
+<div class="alteqlabels" id="orga96f215">
1632 1632 
 <ul class="org-ul">
1633 1633 
 <li>Gr (1.57)</li>
1634 1634 
 </ul>
 
@@ -1673,7 +1673,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1673 1673 
 </div>
1674 1674 
 <div id="postamble" class="status">
1675 1675 
 <p class="author">Author: Jean-Sébastien Caux</p>
1676 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1676 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1677 1677 
 <p class="validation"></p>
1678 1678 
 </div>
1679 1679

+ 2
- 2
build/c_m_uf.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1647,7 +1647,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1647 1647 
 </div>
1648 1648 
 <div id="postamble" class="status">
1649 1649 
 <p class="author">Author: Jean-Sébastien Caux</p>
1650 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1650 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1651 1651 
 <p class="validation"></p>
1652 1652 
 </div>
1653 1653

+ 2
- 2
build/c_m_uf_cyl.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1660,7 +1660,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1660 1660 
 </div>
1661 1661 
 <div id="postamble" class="status">
1662 1662 
 <p class="author">Author: Jean-Sébastien Caux</p>
1663 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1663 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1664 1664 
 <p class="validation"></p>
1665 1665 
 </div>
1666 1666

+ 2
- 2
build/c_m_uf_sph.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1660,7 +1660,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1660 1660 
 </div>
1661 1661 
 <div id="postamble" class="status">
1662 1662 
 <p class="author">Author: Jean-Sébastien Caux</p>
1663 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1663 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1664 1664 
 <p class="validation"></p>
1665 1665 
 </div>
1666 1666

+ 2
- 2
build/c_m_uf_vi.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1663,7 +1663,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1663 1663 
 </div>
1664 1664 
 <div id="postamble" class="status">
1665 1665 
 <p class="author">Author: Jean-Sébastien Caux</p>
1666 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1666 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1667 1667 
 <p class="validation"></p>
1668 1668 
 </div>
1669 1669

+ 2
- 2
build/c_m_va.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1649,7 +1649,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1649 1649 
 </div>
1650 1650 
 <div id="postamble" class="status">
1651 1651 
 <p class="author">Author: Jean-Sébastien Caux</p>
1652 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1652 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1653 1653 
 <p class="validation"></p>
1654 1654 
 </div>
1655 1655

+ 2
- 2
build/c_m_va_cp.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1678,7 +1678,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1678 1678 
 </div>
1679 1679 
 <div id="postamble" class="status">
1680 1680 
 <p class="author">Author: Jean-Sébastien Caux</p>
1681 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1681 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1682 1682 
 <p class="validation"></p>
1683 1683 
 </div>
1684 1684

+ 2
- 2
build/c_m_va_n.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1673,7 +1673,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1673 1673 
 </div>
1674 1674 
 <div id="postamble" class="status">
1675 1675 
 <p class="author">Author: Jean-Sébastien Caux</p>
1676 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1676 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1677 1677 
 <p class="validation"></p>
1678 1678 
 </div>
1679 1679

+ 2
- 2
build/c_m_va_pds.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1707,7 +1707,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1707 1707 
 </div>
1708 1708 
 <div id="postamble" class="status">
1709 1709 
 <p class="author">Author: Jean-Sébastien Caux</p>
1710 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1710 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1711 1711 
 <p class="validation"></p>
1712 1712 
 </div>
1713 1713

+ 2
- 2
build/c_m_va_sp.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1673,7 +1673,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1673 1673 
 </div>
1674 1674 
 <div id="postamble" class="status">
1675 1675 
 <p class="author">Author: Jean-Sébastien Caux</p>
1676 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1676 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1677 1677 
 <p class="validation"></p>
1678 1678 
 </div>
1679 1679

+ 2
- 2
build/c_m_va_tp.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1720,7 +1720,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1720 1720 
 </div>
1721 1721 
 <div id="postamble" class="status">
1722 1722 
 <p class="author">Author: Jean-Sébastien Caux</p>
1723 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1723 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1724 1724 
 <p class="validation"></p>
1725 1725 
 </div>
1726 1726

+ 2
- 2
build/c_m_vf.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1646,7 +1646,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1646 1646 
 </div>
1647 1647 
 <div id="postamble" class="status">
1648 1648 
 <p class="author">Author: Jean-Sébastien Caux</p>
1649 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1649 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1650 1650 
 <p class="validation"></p>
1651 1651 
 </div>
1652 1652

+ 2
- 2
build/c_m_vf_helm.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1665,7 +1665,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1665 1665 
 </div>
1666 1666 
 <div id="postamble" class="status">
1667 1667 
 <p class="author">Author: Jean-Sébastien Caux</p>
1668 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1668 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1669 1669 
 <p class="validation"></p>
1670 1670 
 </div>
1671 1671

+ 2
- 2
build/c_m_vf_pot.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1692,7 +1692,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1692 1692 
 </div>
1693 1693 
 <div id="postamble" class="status">
1694 1694 
 <p class="author">Author: Jean-Sébastien Caux</p>
1695 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1695 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1696 1696 
 <p class="validation"></p>
1697 1697 
 </div>
1698 1698

+ 4
- 4
build/d.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1622,8 +1622,8 @@ Table of contents
1622 1622 
 </svg></a><span class="headline-id">d</span></h2>
1623 1623
1624 1624 
 <div class="outline-text-2" id="text-d">
1625 
-<details class="objectives" id="org6aaebc8">
1626 
-<summary id="org80e2c68">
1625 
+<details class="objectives" id="orgca523dc">
1626 
+<summary id="orgd4ff14b">
1627 1627 
 Objectives
1628 1628 
 </summary>
1629 1629 
 
@@ -1687,7 +1687,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1687 1687 
 </div>
1688 1688 
 <div id="postamble" class="status">
1689 1689 
 <p class="author">Author: Jean-Sébastien Caux</p>
1690 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1690 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1691 1691 
 <p class="validation"></p>
1692 1692 
 </div>
1693 1693

+ 2
- 2
build/d_emd.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1667,7 +1667,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1667 1667 
 </div>
1668 1668 
 <div id="postamble" class="status">
1669 1669 
 <p class="author">Author: Jean-Sébastien Caux</p>
1670 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1670 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1671 1671 
 <p class="validation"></p>
1672 1672 
 </div>
1673 1673

+ 2
- 2
build/d_emd_ce.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1662,7 +1662,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1662 1662 
 </div>
1663 1663 
 <div id="postamble" class="status">
1664 1664 
 <p class="author">Author: Jean-Sébastien Caux</p>
1665 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1665 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1666 1666 
 <p class="validation"></p>
1667 1667 
 </div>
1668 1668

+ 2
- 2
build/d_emd_emw.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1665,7 +1665,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1665 1665 
 </div>
1666 1666 
 <div id="postamble" class="status">
1667 1667 
 <p class="author">Author: Jean-Sébastien Caux</p>
1668 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1668 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1669 1669 
 <p class="validation"></p>
1670 1670 
 </div>
1671 1671

+ 2
- 2
build/d_emf.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1662,7 +1662,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1662 1662 
 </div>
1663 1663 
 <div id="postamble" class="status">
1664 1664 
 <p class="author">Author: Jean-Sébastien Caux</p>
1665 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1665 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1666 1666 
 <p class="validation"></p>
1667 1667 
 </div>
1668 1668

+ 2
- 2
build/d_ems.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1684,7 +1684,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1684 1684 
 </div>
1685 1685 
 <div id="postamble" class="status">
1686 1686 
 <p class="author">Author: Jean-Sébastien Caux</p>
1687 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1687 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1688 1688 
 <p class="validation"></p>
1689 1689 
 </div>
1690 1690

+ 2
- 2
build/d_ems_ca.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1667,7 +1667,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1667 1667 
 </div>
1668 1668 
 <div id="postamble" class="status">
1669 1669 
 <p class="author">Author: Jean-Sébastien Caux</p>
1670 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1670 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1671 1671 
 <p class="validation"></p>
1672 1672 
 </div>
1673 1673

+ 2
- 2
build/d_ems_ms.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1664,7 +1664,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1664 1664 
 </div>
1665 1665 
 <div id="postamble" class="status">
1666 1666 
 <p class="author">Author: Jean-Sébastien Caux</p>
1667 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1667 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1668 1668 
 <p class="validation"></p>
1669 1669 
 </div>
1670 1670

+ 2
- 2
build/d_emsm.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1667,7 +1667,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1667 1667 
 </div>
1668 1668 
 <div id="postamble" class="status">
1669 1669 
 <p class="author">Author: Jean-Sébastien Caux</p>
1670 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1670 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1671 1671 
 <p class="validation"></p>
1672 1672 
 </div>
1673 1673

+ 2
- 2
build/d_emsm_msm.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1665,7 +1665,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1665 1665 
 </div>
1666 1666 
 <div id="postamble" class="status">
1667 1667 
 <p class="author">Author: Jean-Sébastien Caux</p>
1668 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1668 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1669 1669 
 <p class="validation"></p>
1670 1670 
 </div>
1671 1671

+ 2
- 2
build/d_m.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1675,7 +1675,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1675 1675 
 </div>
1676 1676 
 <div id="postamble" class="status">
1677 1677 
 <p class="author">Author: Jean-Sébastien Caux</p>
1678 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1678 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1679 1679 
 <p class="validation"></p>
1680 1680 
 </div>
1681 1681

+ 2
- 2
build/d_red.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1669,7 +1669,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1669 1669 
 </div>
1670 1670 
 <div id="postamble" class="status">
1671 1671 
 <p class="author">Author: Jean-Sébastien Caux</p>
1672 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1672 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1673 1673 
 <p class="validation"></p>
1674 1674 
 </div>
1675 1675

+ 6
- 6
build/emd.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1622,8 +1622,8 @@ Table of contents
1622 1622 
 </svg></a><span class="headline-id">emd</span></h2>
1623 1623
1624 1624 
 <div class="outline-text-2" id="text-emd">
1625 
-<details class="prereq" id="org3aa6e54">
1626 
-<summary id="orgf9c9f1a">
1625 
+<details class="prereq" id="org818864e">
1626 
+<summary id="org9e6a46d">
1627 1627 
 Prerequisites
1628 1628 
 </summary>
1629 1629 
 <ul class="org-ul">
 
@@ -1632,8 +1632,8 @@ Prerequisites
1632 1632 
 </ul>
1633 1633 
 </details>
1634 1634
1635 
-<details class="objectives" id="org933e70a">
1636 
-<summary id="orgfee67cd">
1635 
+<details class="objectives" id="org52c0d63">
1636 
+<summary id="org4e1bb09">
1637 1637 
 Objectives
1638 1638 
 </summary>
1639 1639 
 <ul class="org-ul">
 
@@ -1674,7 +1674,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1674 1674 
 </div>
1675 1675 
 <div id="postamble" class="status">
1676 1676 
 <p class="author">Author: Jean-Sébastien Caux</p>
1677 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1677 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1678 1678 
 <p class="validation"></p>
1679 1679 
 </div>
1680 1680

+ 2
- 2
build/emd_Fl.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1648,7 +1648,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1648 1648 
 </div>
1649 1649 
 <div id="postamble" class="status">
1650 1650 
 <p class="author">Author: Jean-Sébastien Caux</p>
1651 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1651 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1652 1652 
 <p class="validation"></p>
1653 1653 
 </div>
1654 1654

+ 5
- 5
build/emd_Fl_Fl.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1662,7 +1662,7 @@ Empirically:  the changing magnetic field induces an electric current around
1662 1662 
 the circuit. This current is really driven by an electric field having a component
1663 1663 
 along the wire.  The line integral of this field is called the
1664 1664 
 </p>
1665 
-<div class="core div" id="orgec9bb01">
1665 
+<div class="core div" id="org03c55ba">
1666 1666 
 <p>
1667 1667 
 <b>Electromotive force (or electromotance)</b>,
1668 1668 
   \[
 
@@ -1684,7 +1684,7 @@ to the rate of change of the magnetic flux,
1684 1684 
 \]
1685 1685 
 so we obtain
1686 1686 
 </p>
1687 
-<div class="core div" id="org9b4af23">
1687 
+<div class="core div" id="org93f9990">
1688 1688 
 <p>
1689 1689 
 <b>Faraday's law</b> (integral form <i>N.B.: for a stationary loop</i>)
1690 1690 
   \[
 
@@ -1702,7 +1702,7 @@ for any loop (on a wire or not). Using Stokes' theorem,
1702 1702 
 \]
1703 1703 
 we obtain
1704 1704 
 </p>
1705 
-<div class="core div" id="org91ad35a">
1705 
+<div class="core div" id="org6046a76">
1706 1706 
 <p>
1707 1707 
 <b>Faraday's law</b> (differential form)
1708 1708 
   \[
 
@@ -1739,7 +1739,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1739 1739 
 </div>
1740 1740 
 <div id="postamble" class="status">
1741 1741 
 <p class="author">Author: Jean-Sébastien Caux</p>
1742 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1742 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1743 1743 
 <p class="validation"></p>
1744 1744 
 </div>
1745 1745

+ 22
- 5
build/emd_Fl_e.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1646,9 +1646,26 @@ W = \frac{1}{2} I \oint {\bf A} \cdot d{\bf l} = \frac{1}{2} \oint ({\bf A} \cdo
1646 1646 
 \label{Gr(7.30)}
1647 1647 
 \]
1648 1648 
 Generalization to volume currents:
1649 
+</p>
1650 
+<div class="eqlabel" id="org9fbfb9d">
1651 
+<p>
1652 
+<a id="W_intAJ"></a><a href="./emd_Fl_e.html#W_intAJ"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1653 
+  <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1654 
+  <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1655 
+</svg></a>
1656 
+</p>
1657 
+<div class="alteqlabels" id="org6b3d2a5">
1658 
+<ul class="org-ul">
1659 
+<li>gr (7.31)</li>
1660 
+</ul>
1661 
+
1662 
+</div>
1663 
+
1664 
+</div>
1665 
+<p>
1649 1666 
 \[
1650 1667 
 W = \frac{1}{2} \int_{\cal V} ({\bf A} \cdot {\bf J}) d\tau
1651 
-\label{Gr(7.31)}
1668 
+\tag{W_intAJ}\label{W_intAJ}
1652 1669 
 \]
1653 1670 
 Even better:  use Ampère, \({\boldsymbol \nabla} \times {\bf B} = \mu_0 {\bf J}\):
1654 1671 
 \[
 
@@ -1681,7 +1698,7 @@ W = \frac{1}{2\mu_0} \left[ \int_{\cal V} d\tau B^2 - \int_{\cal V} d\tau {\bold
1681 1698 
 \]
1682 1699 
 We can integrate over all space:  after neglecting boundary terms (assuming fields fall to zero at infinity), we are left with
1683 1700 
 </p>
1684 
-<div class="core div" id="orgac0c4b7">
1701 
+<div class="core div" id="org2f4a453">
1685 1702 
 <p>
1686 1703 
 \[
1687 1704 
     W_{mag} = \frac{1}{2\mu_0} \int d\tau B^2
 
@@ -1702,7 +1719,7 @@ W_{mag} = \frac{1}{2} \int d\tau ({\bf A} \cdot {\bf J}) = \frac{1}{2\mu_0} \int
1702 1719 
 \hspace{2cm} \mbox{(7.31 and 7.34)}
1703 1720 
 \end{align}
1704 1721
1705 
-<div class="example div" id="org763563a">
1722 
+<div class="example div" id="orgeb4514a">
1706 1723 
 <p>
1707 1724 
 \paragraph{Example 7.13:}  coaxial cable (inner cylinder radius \(a\), outer \(b\)) carries current \(I\).
1708 1725 
 Find energy stored in section of length \(l\).
 
@@ -1741,7 +1758,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1741 1758 
 </div>
1742 1759 
 <div id="postamble" class="status">
1743 1760 
 <p class="author">Author: Jean-Sébastien Caux</p>
1744 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1761 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1745 1762 
 <p class="validation"></p>
1746 1763 
 </div>
1747 1764

+ 5
- 5
build/emd_Fl_i.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1661,7 +1661,7 @@ M_{12} = M_{21}
1661 1661 
 \]
1662 1662 
 </p>
1663 1663
1664 
-<div class="example div" id="orgf0e7804">
1664 
+<div class="example div" id="org34dd058">
1665 1665 
 <p>
1666 1666 
 \paragraph{Example 7.10:}
1667 1667 
 short solenoid (length \(l\), radius \(a\), \(n_1\) turns per unit length) lies concentrically inside
 
@@ -1711,7 +1711,7 @@ Inductance:  measured in {\bf henries} (\(H\)).  \(H = V s/A\).
1711 1711 
 </p>
1712 1712
1713 1713
1714 
-<div class="example div" id="orgf51dfda">
1714 
+<div class="example div" id="org7acd05e">
1715 1715 
 <p>
1716 1716 
 \paragraph{Example 7.11:}  find self-inductance of toroidal coil with
1717 1717 
 rectangular cross-section (inner radius \(a\), outer radius \(b\), height \(h\))
 
@@ -1738,7 +1738,7 @@ Total flux:  \(N\) times this, so self-inductance is
1738 1738 
 Inductance (like capacitance) is intrinsically positive.  Use Lenz law.  Think of {\bf back EMF}.
1739 1739 
 </p>
1740 1740
1741 
-<div class="example div" id="orgef41138">
1741 
+<div class="example div" id="org9f29434">
1742 1742 
 <p>
1743 1743 
 \paragraph{Example 7.12:}  circuit with inductance \(L\), resistor \(R\) and battery \({\cal E}_0\).
1744 1744 
 What is the current ?
 
@@ -1777,7 +1777,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1777 1777 
 </div>
1778 1778 
 <div id="postamble" class="status">
1779 1779 
 <p class="author">Author: Jean-Sébastien Caux</p>
1780 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1780 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1781 1781 
 <p class="validation"></p>
1782 1782 
 </div>
1783 1783

+ 5
- 5
build/emd_Fl_ief.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1645,7 +1645,7 @@ law in integral form:
1645 1645
1646 1646
1647 1647
1648 
-<div class="example div" id="orge69c6d6">
1648 
+<div class="example div" id="org3b5285b">
1649 1649 
 <p>
1650 1650 
 {\bf Example 7.7:}
1651 1651 
 \({\bf B}(t)\) points up in circular region of radius \(R\).  What is the induced \({\bf E}(t)\) ?
 
@@ -1661,7 +1661,7 @@ Increasing \({\bf B}\):  clockwise (viewed from above) \({\bf E}\) from Lenz.
1661 1661 
 </div>
1662 1662
1663 1663
1664 
-<div class="example div" id="org3276236">
1664 
+<div class="example div" id="org68f8620">
1665 1665 
 <p>
1666 1666 
 {\bf Example 7.8:} wheel or radius \(b\) with line charge \(\lambda\) on the rim.
1667 1667 
 Uniform magnetic field \({\bf B}_0\) in central region up to \(a &lt; b\),
 
@@ -1695,7 +1695,7 @@ called the {\bf quasistatic} approximation, and works provided we deal with
1695 1695 
 'slow enough' phenomena.
1696 1696 
 </p>
1697 1697
1698 
-<div class="example div" id="org91337cc">
1698 
+<div class="example div" id="org5b14490">
1699 1699 
 <p>
1700 1700 
 {\bf Example 7.9:}  infinitely long straight wire carries \(I(t)\).  Find
1701 1701 
 induced \({\bf E}\) field as a function of distance \(s\) from wire.
 
@@ -1743,7 +1743,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1743 1743 
 </div>
1744 1744 
 <div id="postamble" class="status">
1745 1745 
 <p class="author">Author: Jean-Sébastien Caux</p>
1746 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1746 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1747 1747 
 <p class="validation"></p>
1748 1748 
 </div>
1749 1749

+ 2
- 2
build/emd_Me.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1648,7 +1648,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1648 1648 
 </div>
1649 1649 
 <div id="postamble" class="status">
1650 1650 
 <p class="author">Author: Jean-Sébastien Caux</p>
1651 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1651 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1652 1652 
 <p class="validation"></p>
1653 1653 
 </div>
1654 1654

+ 5
- 5
build/emd_Me_Me.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1624,7 +1624,7 @@ Table of contents
1624 1624 
 <p>
1625 1625 
 Full set of equations for the electromagnetic field:
1626 1626 
 </p>
1627 
-<div class="core div" id="org7b46da1">
1627 
+<div class="core div" id="org883ebf1">
1628 1628 
 <p>
1629 1629 
 {\bf Maxwell's equations} {\it (in vacuum)}
1630 1630 
 </p>
 
@@ -1640,7 +1640,7 @@ Full set of equations for the electromagnetic field:
1640 1640 
 <p>
1641 1641 
 Complement:
1642 1642 
 </p>
1643 
-<div class="core div" id="org6297b6f">
1643 
+<div class="core div" id="org2481694">
1644 1644 
 <p>
1645 1645 
 {\bf Force law}
1646 1646 
 \[
 
@@ -1664,7 +1664,7 @@ take divergence of \((iv)\).
1664 1664 
 <p>
1665 1665 
 Better way of writing:  all fields on left, all sources on right,
1666 1666 
 </p>
1667 
-<div class="core div" id="org6d46b26">
1667 
+<div class="core div" id="org47f05c2">
1668 1668 
 \begin{align}
1669 1669 
   (i) &amp;{\boldsymbol \nabla} \cdot {\bf E} = \frac{\rho}{\varepsilon_0},
1670 1670 
   &amp;(iii) {\boldsymbol \nabla} \times {\bf E} + \frac{\partial {\bf B}}{\partial t} = 0, \\
 
@@ -1694,7 +1694,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1694 1694 
 </div>
1695 1695 
 <div id="postamble" class="status">
1696 1696 
 <p class="author">Author: Jean-Sébastien Caux</p>
1697 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1697 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1698 1698 
 <p class="validation"></p>
1699 1699 
 </div>
1700 1700

+ 4
- 4
build/emd_Me_dc.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1631,7 +1631,7 @@ the continuity equation as
1631 1631 
 \]
1632 1632 
 The extra term would thus be eliminated if we were to put
1633 1633 
 </p>
1634 
-<div class="core div" id="orgc070790">
1634 
+<div class="core div" id="orgb95d862">
1635 1635 
 <p>
1636 1636 
 \[
1637 1637 
     {\boldsymbol \nabla} \times {\bf B} = \mu_0 {\bf J} + \mu_0 \varepsilon_0 \frac{\partial {\bf E}}{\partial t}
 
@@ -1655,7 +1655,7 @@ Real confirmation of Maxwell's theory:  1888, Hertz's experiments on propagation
1655 1655 
 <p>
1656 1656 
 Maxwell baptized this term the
1657 1657 
 </p>
1658 
-<div class="core div" id="orgb352387">
1658 
+<div class="core div" id="orgb8b014a">
1659 1659 
 <p>
1660 1660 
 {\bf Displacement current}
1661 1661 
 \[
 
@@ -1703,7 +1703,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1703 1703 
 </div>
1704 1704 
 <div id="postamble" class="status">
1705 1705 
 <p class="author">Author: Jean-Sébastien Caux</p>
1706 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1706 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1707 1707 
 <p class="validation"></p>
1708 1708 
 </div>
1709 1709

+ 2
- 2
build/emd_Me_ebM.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1673,7 +1673,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1673 1673 
 </div>
1674 1674 
 <div id="postamble" class="status">
1675 1675 
 <p class="author">Author: Jean-Sébastien Caux</p>
1676 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1676 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1677 1677 
 <p class="validation"></p>
1678 1678 
 </div>
1679 1679

+ 2
- 2
build/emd_Me_mc.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1671,7 +1671,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1671 1671 
 </div>
1672 1672 
 <div id="postamble" class="status">
1673 1673 
 <p class="author">Author: Jean-Sébastien Caux</p>
1674 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1674 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1675 1675 
 <p class="validation"></p>
1676 1676 
 </div>
1677 1677

+ 6
- 6
build/emd_ce.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1622,8 +1622,8 @@ Table of contents
1622 1622 
 </svg></a><span class="headline-id">emd.ce</span></h3>
1623 1623
1624 1624 
 <div class="outline-text-3" id="text-emd_ce">
1625 
-<details class="prereq" id="org805c0a9">
1626 
-<summary id="org5cff90a">
1625 
+<details class="prereq" id="org70c43f6">
1626 
+<summary id="org3522c33">
1627 1627 
 Prerequisites
1628 1628 
 </summary>
1629 1629 
 <ul class="org-ul">
 
@@ -1631,8 +1631,8 @@ Prerequisites
1631 1631 
 </ul>
1632 1632 
 </details>
1633 1633
1634 
-<details class="objectives" id="org33a8e47">
1635 
-<summary id="orga264cda">
1634 
+<details class="objectives" id="orgead6b14">
1635 
+<summary id="orgf683e76">
1636 1636 
 Objectives
1637 1637 
 </summary>
1638 1638 
 <ul class="org-ul">
 
@@ -1670,7 +1670,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1670 1670 
 </div>
1671 1671 
 <div id="postamble" class="status">
1672 1672 
 <p class="author">Author: Jean-Sébastien Caux</p>
1673 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1673 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1674 1674 
 <p class="validation"></p>
1675 1675 
 </div>
1676 1676

+ 3
- 3
build/emd_ce_amom.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1624,7 +1624,7 @@ Table of contents
1624 1624 
 <p>
1625 1625 
 The angular momentum of EM fields is directly given by
1626 1626 
 </p>
1627 
-<div class="main div" id="orgd257fc0">
1627 
+<div class="main div" id="orgaa57ede">
1628 1628 
 <p>
1629 1629 
 {\bf Angular momentum of EM fields}
1630 1630 
 \[
 
@@ -1654,7 +1654,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1654 1654 
 </div>
1655 1655 
 <div id="postamble" class="status">
1656 1656 
 <p class="author">Author: Jean-Sébastien Caux</p>
1657 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1657 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1658 1658 
 <p class="validation"></p>
1659 1659 
 </div>
1660 1660

+ 3
- 3
build/emd_ce_ce.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1643,7 +1643,7 @@ This means that
1643 1643 
 \]
1644 1644 
 Since this is true for any volume, we have (re)derived the
1645 1645 
 </p>
1646 
-<div class="core div" id="org822d00a">
1646 
+<div class="core div" id="orgfb5850b">
1647 1647 
 <p>
1648 1648 
 {\bf Continuity equation}
1649 1649 
 \[
 
@@ -1684,7 +1684,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1684 1684 
 </div>
1685 1685 
 <div id="postamble" class="status">
1686 1686 
 <p class="author">Author: Jean-Sébastien Caux</p>
1687 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1687 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1688 1688 
 <p class="validation"></p>
1689 1689 
 </div>
1690 1690

+ 4
- 4
build/emd_ce_mom.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1636,7 +1636,7 @@ in which the first integral can be interpreted as the momentum stored in the EM
1636 1636 
 <p>
1637 1637 
 This is thus simply a conservation law for momentum, with
1638 1638 
 </p>
1639 
-<div class="main div" id="org2961159">
1639 
+<div class="main div" id="orgc75d196">
1640 1640 
 <p>
1641 1641 
 {\bf Momentum density in the EM fields}
1642 1642 
 \[
 
@@ -1648,7 +1648,7 @@ This is thus simply a conservation law for momentum, with
1648 1648 
 <p>
1649 1649 
 In a region in which the mechanical momentum is not changing due to external influences, we then have the
1650 1650 
 </p>
1651 
-<div class="main div" id="org1aacec6">
1651 
+<div class="main div" id="orgc680b5b">
1652 1652 
 <p>
1653 1653 
 {\bf Continuity equation for EM momentum}
1654 1654 
 \[
 
@@ -1677,7 +1677,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1677 1677 
 </div>
1678 1678 
 <div id="postamble" class="status">
1679 1679 
 <p class="author">Author: Jean-Sébastien Caux</p>
1680 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1680 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1681 1681 
 <p class="validation"></p>
1682 1682 
 </div>
1683 1683

+ 5
- 5
build/emd_ce_mst.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1678,7 +1678,7 @@ and similarly for \({\boldsymbol B}\). We thus get
1678 1678 
 <p>
1679 1679 
 This expression can be greatly simplified by introducing the
1680 1680 
 </p>
1681 
-<div class="main div" id="orgcd94992">
1681 
+<div class="main div" id="org41d984c">
1682 1682 
 <p>
1683 1683 
 {\bf Maxwell stress tensor}
1684 1684 
 \[
 
@@ -1701,7 +1701,7 @@ The element \(T_{ij}\) represents the force per unit area in the $i$th direction
1701 1701 
 <p>
1702 1702 
 We then obtain
1703 1703 
 </p>
1704 
-<div class="main div" id="org0f23aa8">
1704 
+<div class="main div" id="orgefc4ae2">
1705 1705 
 <p>
1706 1706 
 {\bf EM force per unit volume}
1707 1707 
 \[
 
@@ -1713,7 +1713,7 @@ We then obtain
1713 1713 
 <p>
1714 1714 
 where \({\boldsymbol S}\) is the Poynting vector. Integrating, we obtain the
1715 1715 
 </p>
1716 
-<div class="main div" id="org2d0e69d">
1716 
+<div class="main div" id="orgc9bf6dd">
1717 1717 
 <p>
1718 1718 
 {\bf Total force on charges in volume}
1719 1719 
 \[
 
@@ -1742,7 +1742,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1742 1742 
 </div>
1743 1743 
 <div id="postamble" class="status">
1744 1744 
 <p class="author">Author: Jean-Sébastien Caux</p>
1745 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1745 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1746 1746 
 <p class="validation"></p>
1747 1747 
 </div>
1748 1748

+ 8
- 8
build/emd_ce_poy.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1690,7 +1690,7 @@ so we get
1690 1690 
 Substituting this in \ref{Gr(8.6)} and using the divergence theorem,
1691 1691 
 we obtain
1692 1692 
 </p>
1693 
-<div class="main div" id="org22fe564">
1693 
+<div class="main div" id="orgda8af3a">
1694 1694 
 <p>
1695 1695 
 {\bf Poynting's theorem}
1696 1696 
 \[
 
@@ -1715,7 +1715,7 @@ energy is carried by EM fields out of \({\cal V}\) across its boundary surface.
1715 1715 
 <p>
1716 1716 
 Energy per unit time, per unit area carried by EM fields:
1717 1717 
 </p>
1718 
-<div class="core div" id="orgdc206f6">
1718 
+<div class="core div" id="org8a1c10e">
1719 1719 
 <p>
1720 1720 
 {\bf Poynting vector}
1721 1721 
 \[
 
@@ -1728,7 +1728,7 @@ Energy per unit time, per unit area carried by EM fields:
1728 1728 
 <p>
1729 1729 
 We can thus express Poynting's theorem more compactly:
1730 1730 
 </p>
1731 
-<div class="core div" id="org9460249">
1731 
+<div class="core div" id="org57576be">
1732 1732 
 <p>
1733 1733 
 {\bf Poynting's theorem}
1734 1734 
 \[
 
@@ -1741,7 +1741,7 @@ We can thus express Poynting's theorem more compactly:
1741 1741 
 <p>
1742 1742 
 where we have defined the total
1743 1743 
 </p>
1744 
-<div class="core div" id="orgeb66148">
1744 
+<div class="core div" id="org43eb64b">
1745 1745 
 <p>
1746 1746 
 {\bf Energy in electromagnetic fields}
1747 1747 
 \[
 
@@ -1764,7 +1764,7 @@ Then,
1764 1764 
 \]
1765 1765 
 so we get the
1766 1766 
 </p>
1767 
-<div class="core div" id="org8be7377">
1767 
+<div class="core div" id="org29b53c2">
1768 1768 
 <p>
1769 1769 
 {\bf Poynting theorem (differential form)}
1770 1770 
 \[
 
@@ -1781,7 +1781,7 @@ and has a similar for to the continuity equation
1781 1781
1782 1782
1783 1783
1784 
-<div class="example div" id="org69805a3">
1784 
+<div class="example div" id="orgbb7ac4b">
1785 1785 
 <p>
1786 1786 
 \paragraph{Example 8.1}  Current in a wire:  Joule heating.  Energy per unit time delivered to wire:  from Poynting.
1787 1787 
 Assuming that the field is uniform, the electric field parallel to the wire is
 
@@ -1826,7 +1826,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1826 1826 
 </div>
1827 1827 
 <div id="postamble" class="status">
1828 1828 
 <p class="author">Author: Jean-Sébastien Caux</p>
1829 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1829 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1830 1830 
 <p class="validation"></p>
1831 1831 
 </div>
1832 1832

+ 6
- 6
build/emd_emw.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1622,8 +1622,8 @@ Table of contents
1622 1622 
 </svg></a><span class="headline-id">emd.emw</span></h3>
1623 1623
1624 1624 
 <div class="outline-text-3" id="text-emd_emw">
1625 
-<details class="prereq" id="orgccb0742">
1626 
-<summary id="org65b5674">
1625 
+<details class="prereq" id="org9d74d32">
1626 
+<summary id="org175f28d">
1627 1627 
 Prerequisites
1628 1628 
 </summary>
1629 1629 
 <ul class="org-ul">
 
@@ -1632,8 +1632,8 @@ Prerequisites
1632 1632 
 </ul>
1633 1633 
 </details>
1634 1634
1635 
-<details class="objectives" id="org0b2c32c">
1636 
-<summary id="orgabe83b8">
1635 
+<details class="objectives" id="org73ffbc8">
1636 
+<summary id="org638d300">
1637 1637 
 Objectives
1638 1638 
 </summary>
1639 1639 
 <ul class="org-ul">
 
@@ -1674,7 +1674,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1674 1674 
 </div>
1675 1675 
 <div id="postamble" class="status">
1676 1676 
 <p class="author">Author: Jean-Sébastien Caux</p>
1677 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1677 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1678 1678 
 <p class="validation"></p>
1679 1679 
 </div>
1680 1680

+ 4
- 4
build/emd_emw_ep.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1652,7 +1652,7 @@ so for a monochromatic EM plan wave,
1652 1652 
 \]
1653 1653 
 or more succinctly:
1654 1654 
 </p>
1655 
-<div class="main div" id="org3c34193">
1655 
+<div class="main div" id="org677cdf7">
1656 1656 
 <p>
1657 1657 
 {\bf Poynting vector of a monochromatic EM wave}
1658 1658 
 \[
 
@@ -1668,7 +1668,7 @@ This has a transparent physical interpretation: the energy density \(u\) flows w
1668 1668 
 <p>
1669 1669 
 Similary, we get the
1670 1670 
 </p>
1671 
-<div class="main div" id="org361020e">
1671 
+<div class="main div" id="orgc6fc8e6">
1672 1672 
 <p>
1673 1673 
 {\bf Momentum density of a monochromatic EM wave}
1674 1674 
 \[
 
@@ -1719,7 +1719,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1719 1719 
 </div>
1720 1720 
 <div id="postamble" class="status">
1721 1721 
 <p class="author">Author: Jean-Sébastien Caux</p>
1722 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1722 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1723 1723 
 <p class="validation"></p>
1724 1724 
 </div>
1725 1725

+ 3
- 3
build/emd_emw_mpw.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1653,7 +1653,7 @@ B_0 = \frac{k}{\omega} E_0 = \frac{1}{c} E_0.
1653 1653 
 Generalizing to propagation in the direction of an arbitrary wavevector
1654 1654 
 \({\boldsymbol k}\) and (transverse) polarization vector \(\hat{\boldsymbol n}\), we have the
1655 1655 
 </p>
1656 
-<div class="core div" id="orgaf2015e">
1656 
+<div class="core div" id="orgd2950da">
1657 1657 
 <p>
1658 1658 
 {\bf E and B fields for a monochromatic EM plane wave}
1659 1659 
 \[
 
@@ -1697,7 +1697,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1697 1697 
 </div>
1698 1698 
 <div id="postamble" class="status">
1699 1699 
 <p class="author">Author: Jean-Sébastien Caux</p>
1700 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1700 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1701 1701 
 <p class="validation"></p>
1702 1702 
 </div>
1703 1703

+ 3
- 3
build/emd_emw_we.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1650,7 +1650,7 @@ These take the form of coupled first-order partial differential equations for \(
1650 1650 
 Since \({\boldsymbol \nabla} \cdot {\bf E} = 0\) and \({\boldsymbol \nabla} \cdot {\bf B} = 0\),
1651 1651 
 we get the
1652 1652 
 </p>
1653 
-<div class="core div" id="orgc1dcb4b">
1653 
+<div class="core div" id="org88fc1e4">
1654 1654 
 <p>
1655 1655 
 {\bf Wave equations for electric and magnetic fields in vacuum}
1656 1656 
 \[
 
@@ -1706,7 +1706,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1706 1706 
 </div>
1707 1707 
 <div id="postamble" class="status">
1708 1708 
 <p class="author">Author: Jean-Sébastien Caux</p>
1709 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1709 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1710 1710 
 <p class="validation"></p>
1711 1711 
 </div>
1712 1712

+ 2
- 2
build/emdm.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1646,7 +1646,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1646 1646 
 </div>
1647 1647 
 <div id="postamble" class="status">
1648 1648 
 <p class="author">Author: Jean-Sébastien Caux</p>
1649 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1649 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1650 1650 
 <p class="validation"></p>
1651 1651 
 </div>
1652 1652

+ 2
- 2
build/emdm_Me.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1646,7 +1646,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1646 1646 
 </div>
1647 1647 
 <div id="postamble" class="status">
1648 1648 
 <p class="author">Author: Jean-Sébastien Caux</p>
1649 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1649 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1650 1650 
 <p class="validation"></p>
1651 1651 
 </div>
1652 1652

+ 10
- 10
build/emdm_Me_Mem.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1657,7 +1657,7 @@ dI = \frac{\partial \sigma_b}{\partial t} da_{\perp} = \frac{\partial P}{\partia
1657 1657 
 \]
1658 1658 
 We therefore have the
1659 1659 
 </p>
1660 
-<div class="core div" id="org51f1815">
1660 
+<div class="core div" id="org9606db6">
1661 1661 
 <p>
1662 1662 
 {\bf Polarization current density}
1663 1663 
 \[
 
@@ -1675,7 +1675,7 @@ the polarization current is the result of linear motion of charge when
1675 1675 
 polarization changes).  We can check consistency with the continuity equation
1676 1676 
 associated to the conservation of bound charges:
1677 1677 
 </p>
1678 
-<aside id="org467ee7a">
1678 
+<aside id="orge1ae7f1">
1679 1679 
 <p>
1680 1680 
 Note the unfortunate labelling: it would have been nicer to have \(\rho_b\) be the charge associated to current
1681 1681 
   \({\boldsymbol J}_b\) but this is not the convention used here.
 
@@ -1698,7 +1698,7 @@ Changing magnetization does not lead to analogous accumulation of charge and cur
1698 1698 
 In view of this:  total charge density can be separated into 2 parts,
1699 1699 
 {\it free} and {\it bound}:
1700 1700 
 </p>
1701 
-<div class="main div" id="org29c3c4f">
1701 
+<div class="main div" id="orgb0d00db">
1702 1702 
 <p>
1703 1703 
 \[
1704 1704 
     \rho = \rho_f + \rho_b = \rho_f - {\boldsymbol \nabla} \cdot {\bf P}
 
@@ -1711,7 +1711,7 @@ In view of this:  total charge density can be separated into 2 parts,
1711 1711 
 and current can be separated into three parts, {\it free}, {\it bound} and
1712 1712 
 {\it polarization}:
1713 1713 
 </p>
1714 
-<div class="main div" id="orgee8dfce">
1714 
+<div class="main div" id="org89c562c">
1715 1715 
 <p>
1716 1716 
 \[
1717 1717 
   {\bf J} = {\bf J}_f + {\bf J}_b + {\bf J}_p = {\bf J}_f + {\boldsymbol ∇} × {\bf M}
 
@@ -1735,7 +1735,7 @@ Gauss's law:  can be rewritten
1735 1735 
 \]
1736 1736 
 where (as in static case)
1737 1737 
 </p>
1738 
-<div class="core div" id="orgaa4fe44">
1738 
+<div class="core div" id="org0196779">
1739 1739 
 <p>
1740 1740 
 \[
1741 1741 
     {\bf D} \equiv \varepsilon_0 {\bf E} + {\bf P}
 
@@ -1761,7 +1761,7 @@ or
1761 1761 
 \]
1762 1762 
 where as before
1763 1763 
 </p>
1764 
-<div class="core div" id="org952d9d3">
1764 
+<div class="core div" id="org2b5f6d5">
1765 1765 
 <p>
1766 1766 
 \[
1767 1767 
     {\bf H} \equiv \frac{1}{\mu_0} {\bf B} - {\bf M}
 
@@ -1779,7 +1779,7 @@ bound parts, since they don't involve \(\rho\) or \({\bf J}\).
1779 1779 
 <p>
1780 1780 
 In terms of free charges and currents, we thus get
1781 1781 
 </p>
1782 
-<div class="core div" id="orgdc9fcaf">
1782 
+<div class="core div" id="org2c2cd2a">
1783 1783 
 <p>
1784 1784 
 {\bf Maxwell's equations {\it (in matter)}}
1785 1785 
 </p>
 
@@ -1805,7 +1805,7 @@ Must be complemented by the {\bf constitutive relations} giving \({\bf D}\) and
1805 1805 
 in terms of \({\bf E}\) and \({\bf B}\).
1806 1806 
 For the restricted case of linear media:
1807 1807 
 </p>
1808 
-<div class="main div" id="org4946062">
1808 
+<div class="main div" id="orgcaf59d5">
1809 1809 
 <p>
1810 1810 
 \[
1811 1811 
     {\bf P} = \varepsilon_0 \chi_e {\bf E}, \hspace{1cm}
 
@@ -1842,7 +1842,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1842 1842 
 </div>
1843 1843 
 <div id="postamble" class="status">
1844 1844 
 <p class="author">Author: Jean-Sébastien Caux</p>
1845 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1845 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1846 1846 
 <p class="validation"></p>
1847 1847 
 </div>
1848 1848

+ 3
- 3
build/emdm_Me_bc.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1624,7 +1624,7 @@ Table of contents
1624 1624 
 <p>
1625 1625 
 Discontinuities between different media, deduced from
1626 1626 
 </p>
1627 
-<div class="core div" id="orgdf7437e">
1627 
+<div class="core div" id="orgc82cb6f">
1628 1628 
 <p>
1629 1629 
 {\bf Maxwell's equations {\it (in matter)}, integral form}
1630 1630 
 </p>
 
@@ -1715,7 +1715,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1715 1715 
 </div>
1716 1716 
 <div id="postamble" class="status">
1717 1717 
 <p class="author">Author: Jean-Sébastien Caux</p>
1718 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1718 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1719 1719 
 <p class="validation"></p>
1720 1720 
 </div>
1721 1721

+ 2
- 2
build/emdm_emwm.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1649,7 +1649,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1649 1649 
 </div>
1650 1650 
 <div id="postamble" class="status">
1651 1651 
 <p class="author">Author: Jean-Sébastien Caux</p>
1652 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1652 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1653 1653 
 <p class="validation"></p>
1654 1654 
 </div>
1655 1655

+ 2
- 2
build/emdm_emwm_ad.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1645,7 +1645,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1645 1645 
 </div>
1646 1646 
 <div id="postamble" class="status">
1647 1647 
 <p class="author">Author: Jean-Sébastien Caux</p>
1648 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1648 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1649 1649 
 <p class="validation"></p>
1650 1650 
 </div>
1651 1651

+ 2
- 2
build/emdm_emwm_ad_c.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1741,7 +1741,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1741 1741 
 </div>
1742 1742 
 <div id="postamble" class="status">
1743 1743 
 <p class="author">Author: Jean-Sébastien Caux</p>
1744 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1744 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1745 1745 
 <p class="validation"></p>
1746 1746 
 </div>
1747 1747

+ 3
- 3
build/emdm_emwm_plm.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1659,7 +1659,7 @@ v = \frac{1}{\sqrt{\mu \varepsilon}} = \frac{c}{n}
1659 1659 
 \]
1660 1660 
 where the index of refraction of the material is defined as
1661 1661 
 </p>
1662 
-<div class="main div" id="org74f7e8d">
1662 
+<div class="main div" id="orga0b7fe5">
1663 1663 
 <p>
1664 1664 
 {\bf Index of refraction}
1665 1665 
 \[
 
@@ -1716,7 +1716,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1716 1716 
 </div>
1717 1717 
 <div id="postamble" class="status">
1718 1718 
 <p class="author">Author: Jean-Sébastien Caux</p>
1719 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1719 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1720 1720 
 <p class="validation"></p>
1721 1721 
 </div>
1722 1722

+ 2
- 2
build/emdm_emwm_refl.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1660,7 +1660,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1660 1660 
 </div>
1661 1661 
 <div id="postamble" class="status">
1662 1662 
 <p class="author">Author: Jean-Sébastien Caux</p>
1663 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1663 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1664 1664 
 <p class="validation"></p>
1665 1665 
 </div>
1666 1666

+ 2
- 2
build/emdm_emwm_refl_Ba.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1640,7 +1640,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1640 1640 
 </div>
1641 1641 
 <div id="postamble" class="status">
1642 1642 
 <p class="author">Author: Jean-Sébastien Caux</p>
1643 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1643 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1644 1644 
 <p class="validation"></p>
1645 1645 
 </div>
1646 1646

+ 2
- 2
build/emdm_emwm_refl_Fe.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1641,7 +1641,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1641 1641 
 </div>
1642 1642 
 <div id="postamble" class="status">
1643 1643 
 <p class="author">Author: Jean-Sébastien Caux</p>
1644 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1644 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1645 1645 
 <p class="validation"></p>
1646 1646 
 </div>
1647 1647

+ 2
- 2
build/emdm_emwm_refl_ni.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1732,7 +1732,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1732 1732 
 </div>
1733 1733 
 <div id="postamble" class="status">
1734 1734 
 <p class="author">Author: Jean-Sébastien Caux</p>
1735 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1735 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1736 1736 
 <p class="validation"></p>
1737 1737 
 </div>
1738 1738

+ 6
- 6
build/emdm_emwm_refl_oi.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1659,7 +1659,7 @@ These forms for incident, reflected and transmitted wave can be substituted in t
1659 1659 
 <p>
1660 1660 
 From now on we will orient the axes so that \({\boldsymbol k}_I\) lies in the \(xz\) plane. This means that \({\boldsymbol k}_R\) and \({\boldsymbol k}_T\) also lie in that plane. This is the
1661 1661 
 </p>
1662 
-<div class="core div" id="org5257e23">
1662 
+<div class="core div" id="orgab5561c">
1663 1663 
 <p>
1664 1664 
 {\bf First law of reflection:}
1665 1665 
 the incident, reflected and transmitted wave vectors form a plane (called the plane of incidence) which also includes the normal to the surface.
 
@@ -1674,7 +1674,7 @@ Specializing (\ref{eq:RTObliquek}) to our notations, we have
1674 1674 
 with the incidence (\(\theta_I\)) and reflection (\(\theta_R\)) angles
1675 1675 
 and the angle of refraction (\(\theta_T\)) obey the following laws:
1676 1676 
 </p>
1677 
-<div class="core div" id="org0362172">
1677 
+<div class="core div" id="orgfe980d3">
1678 1678 
 <p>
1679 1679 
 {\bf Law of reflection}
1680 1680 
 \[
 
@@ -1732,7 +1732,7 @@ while the third equation becomes
1732 1732 
 \]
1733 1733 
 Writing everything in terms of the incident amplitude, we get
1734 1734 
 </p>
1735 
-<div class="main div" id="org11aebdb">
1735 
+<div class="main div" id="org3d560e5">
1736 1736 
 <p>
1737 1737 
 {\bf Fresnel's equations for reflection and transmission amplitudes (parallel case)}
1738 1738 
 \[
 
@@ -1752,7 +1752,7 @@ Amplitudes for transmitted and reflected wave: depend on angle of incidence:
1752 1752 
 Behaviour: for \(\theta_I = 0\) we recover (\ref{Gr(9.82)}).
1753 1753 
 For grazing waves \(\theta_I \rightarrow \pi/2\) we have that \(\alpha \rightarrow \infty\) and the wave is totally reflected. The most interesting angle is the one at which \(\alpha = \beta\) and the reflected wave has zero amplitude. This is known as
1754 1754 
 </p>
1755 
-<div class="main div" id="org432eb4f">
1755 
+<div class="main div" id="org88a1e03">
1756 1756 
 <p>
1757 1757 
 {\bf Brewster's angle {\it (at which the reflected wave amplitude vanishes)}}
1758 1758 
   \[
 
@@ -1802,7 +1802,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1802 1802 
 </div>
1803 1803 
 <div id="postamble" class="status">
1804 1804 
 <p class="author">Author: Jean-Sébastien Caux</p>
1805 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1805 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1806 1806 
 <p class="validation"></p>
1807 1807 
 </div>
1808 1808

+ 2
- 2
build/emdm_emwm_refr.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1641,7 +1641,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1641 1641 
 </div>
1642 1642 
 <div id="postamble" class="status">
1643 1643 
 <p class="author">Author: Jean-Sébastien Caux</p>
1644 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1644 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1645 1645 
 <p class="validation"></p>
1646 1646 
 </div>
1647 1647

+ 2
- 2
build/emdm_emwm_wg.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1647,7 +1647,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1647 1647 
 </div>
1648 1648 
 <div id="postamble" class="status">
1649 1649 
 <p class="author">Author: Jean-Sébastien Caux</p>
1650 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1650 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1651 1651 
 <p class="validation"></p>
1652 1652 
 </div>
1653 1653

+ 2
- 2
build/emdm_emwm_wg_c.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1667,7 +1667,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1667 1667 
 </div>
1668 1668 
 <div id="postamble" class="status">
1669 1669 
 <p class="author">Author: Jean-Sébastien Caux</p>
1670 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1670 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1671 1671 
 <p class="validation"></p>
1672 1672 
 </div>
1673 1673

+ 2
- 2
build/emdm_emwm_wg_gw.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1691,7 +1691,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1691 1691 
 </div>
1692 1692 
 <div id="postamble" class="status">
1693 1693 
 <p class="author">Author: Jean-Sébastien Caux</p>
1694 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1694 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1695 1695 
 <p class="validation"></p>
1696 1696 
 </div>
1697 1697

+ 2
- 2
build/emdm_emwm_wg_r.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1700,7 +1700,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1700 1700 
 </div>
1701 1701 
 <div id="postamble" class="status">
1702 1702 
 <p class="author">Author: Jean-Sébastien Caux</p>
1703 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1703 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1704 1704 
 <p class="validation"></p>
1705 1705 
 </div>
1706 1706

+ 6
- 6
build/emf.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1622,8 +1622,8 @@ Table of contents
1622 1622 
 </svg></a><span class="headline-id">emf</span></h2>
1623 1623
1624 1624 
 <div class="outline-text-2" id="text-emf">
1625 
-<details class="prereq" id="orga060b72">
1626 
-<summary id="org694c2b7">
1625 
+<details class="prereq" id="orgb740c0e">
1626 
+<summary id="org919d213">
1627 1627 
 Prerequisites
1628 1628 
 </summary>
1629 1629 
 <ul class="org-ul">
 
@@ -1631,8 +1631,8 @@ Prerequisites
1631 1631 
 </ul>
1632 1632 
 </details>
1633 1633
1634 
-<details class="objectives" id="orgdf6ad7f">
1635 
-<summary id="org404ebae">
1634 
+<details class="objectives" id="orgd6caf8f">
1635 
+<summary id="org998f38c">
1636 1636 
 Objectives
1637 1637 
 </summary>
1638 1638 
 <ul class="org-ul">
 
@@ -1668,7 +1668,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1668 1668 
 </div>
1669 1669 
 <div id="postamble" class="status">
1670 1670 
 <p class="author">Author: Jean-Sébastien Caux</p>
1671 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1671 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1672 1672 
 <p class="validation"></p>
1673 1673 
 </div>
1674 1674

+ 2
- 2
build/emf_g.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1665,7 +1665,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1665 1665 
 </div>
1666 1666 
 <div id="postamble" class="status">
1667 1667 
 <p class="author">Author: Jean-Sébastien Caux</p>
1668 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1668 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1669 1669 
 <p class="validation"></p>
1670 1670 
 </div>
1671 1671

+ 2
- 2
build/emf_g_Cg.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1664,7 +1664,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1664 1664 
 </div>
1665 1665 
 <div id="postamble" class="status">
1666 1666 
 <p class="author">Author: Jean-Sébastien Caux</p>
1667 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1667 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1668 1668 
 <p class="validation"></p>
1669 1669 
 </div>
1670 1670

+ 4
- 4
build/emf_g_Lg.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1637,7 +1637,7 @@ while the equation for \(V\) becomes
1637 1637 
 \]
1638 1638 
 These can be written compactly upon introducing a new operator: the
1639 1639 
 </p>
1640 
-<div class="core div" id="org60d2ea9">
1640 
+<div class="core div" id="org892bf92">
1641 1641 
 <p>
1642 1642 
 {\bf d'Alembertian operator}
1643 1643 
 \[
 
@@ -1650,7 +1650,7 @@ These can be written compactly upon introducing a new operator: the
1650 1650 
 <p>
1651 1651 
 so we get the
1652 1652 
 </p>
1653 
-<div class="core div" id="org8c509da">
1653 
+<div class="core div" id="org2f9d40b">
1654 1654 
 <p>
1655 1655 
 {\bf Inhomogeneous Maxwell equations (Lorenz gauge)}
1656 1656 
 \[
 
@@ -1700,7 +1700,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1700 1700 
 </div>
1701 1701 
 <div id="postamble" class="status">
1702 1702 
 <p class="author">Author: Jean-Sébastien Caux</p>
1703 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1703 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1704 1704 
 <p class="validation"></p>
1705 1705 
 </div>
1706 1706

+ 6
- 6
build/emf_svp.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1638,7 +1638,7 @@ Useful strategy: represent fields in terms of potentials.
1638 1638 
 <p>
1639 1639 
 Easiest:
1640 1640 
 </p>
1641 
-<div class="core div" id="org213e22d">
1641 
+<div class="core div" id="org94d8659">
1642 1642 
 <p>
1643 1643 
 \[
1644 1644 
     {\boldsymbol B} = {\boldsymbol \nabla} \times {\boldsymbol A}
 
@@ -1654,7 +1654,7 @@ Putting this into Faraday's law gives
1654 1654 
 \]
1655 1655 
 so this can be written as the gradient of a scalar (by choice: \(-{\boldsymbol \nabla} V\)) so we get
1656 1656 
 </p>
1657 
-<div class="core div" id="org37d42c9">
1657 
+<div class="core div" id="org61bab66">
1658 1658 
 <p>
1659 1659 
 \[
1660 1660 
     {\boldsymbol E} = -{\boldsymbol \nabla} V - \frac{\partial {\boldsymbol A}}{\partial t}
 
@@ -1667,7 +1667,7 @@ so this can be written as the gradient of a scalar (by choice: \(-{\boldsymbol \
1667 1667 
 <p>
1668 1668 
 Using this potential representation for \({\boldsymbol E}\) and \({\boldsymbol B}\) automatically fulfills the two homogeneous Maxwell equations. For the inhomogeneous equations, substituting (\ref{eq:E_from_Potentials}) into Gauss's law gives
1669 1669 
 </p>
1670 
-<div class="main div" id="org2bb1f3a">
1670 
+<div class="main div" id="orga59d0cc">
1671 1671 
 <p>
1672 1672 
 \[
1673 1673 
     {\boldsymbol \nabla}^2 V + \frac{\partial}{\partial t} {\boldsymbol \nabla} \cdot {\boldsymbol A} = -\frac{\rho}{\varepsilon_0}
 
@@ -1683,7 +1683,7 @@ whereas Amp{\`ere}-Maxwell becomes
1683 1683 
 \]
1684 1684 
 which becomes after simple rearrangement and use of the identity \({\boldsymbol \nabla} \times \left({\boldsymbol \nabla} \times {\boldsymbol A}\right) = {\boldsymbol \nabla} ({\boldsymbol \nabla} \cdot {\boldsymbol A}) - {\boldsymbol \nabla}^2 {\boldsymbol A}\),
1685 1685 
 </p>
1686 
-<div class="main div" id="org5c628f6">
1686 
+<div class="main div" id="org514d3f1">
1687 1687 
 <p>
1688 1688 
 \[
1689 1689 
   \left( {\boldsymbol ∇}^2 {\boldsymbol A} - μ_0 ε_0 \frac{∂^2 {\boldsymbol A}}{∂ t^2} \right)
 
@@ -1719,7 +1719,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1719 1719 
 </div>
1720 1720 
 <div id="postamble" class="status">
1721 1721 
 <p class="author">Author: Jean-Sébastien Caux</p>
1722 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1722 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1723 1723 
 <p class="validation"></p>
1724 1724 
 </div>
1725 1725

+ 2
- 2
build/ems.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1648,7 +1648,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1648 1648 
 </div>
1649 1649 
 <div id="postamble" class="status">
1650 1650 
 <p class="author">Author: Jean-Sébastien Caux</p>
1651 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1651 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1652 1652 
 <p class="validation"></p>
1653 1653 
 </div>
1654 1654

+ 6
- 6
build/ems_ca.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1626,8 +1626,8 @@ Table of contents
1626 1626 
 <li>Gr 3</li>
1627 1627 
 </ul>
1628 1628
1629 
-<details class="prereq" id="org6e27ef2">
1630 
-<summary id="org5cb0144">
1629 
+<details class="prereq" id="org3402c83">
1630 
+<summary id="org4cf0fe6">
1631 1631 
 Prerequisites
1632 1632 
 </summary>
1633 1633 
 <ul class="org-ul">
 
@@ -1635,8 +1635,8 @@ Prerequisites
1635 1635 
 </ul>
1636 1636 
 </details>
1637 1637
1638 
-<details class="objectives" id="org66a1990">
1639 
-<summary id="org6dae755">
1638 
+<details class="objectives" id="org9645228">
1639 
+<summary id="orgc4935b9">
1640 1640 
 Objectives
1641 1641 
 </summary>
1642 1642 
 <ul class="org-ul">
 
@@ -1674,7 +1674,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1674 1674 
 </div>
1675 1675 
 <div id="postamble" class="status">
1676 1676 
 <p class="author">Author: Jean-Sébastien Caux</p>
1677 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1677 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1678 1678 
 <p class="validation"></p>
1679 1679 
 </div>
1680 1680

+ 6
- 6
build/ems_ca_fe.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1632,7 +1632,7 @@ A generic configuration of static charges coupled via the Coulomb interaction
1632 1632 
 defines an electrostatic problem, whose solution is in principle obtained
1633 1633 
 from calculating either the field according to <a href="./ems_es_ef_ccd.html#E_vcd">E_vcd</a>
1634 1634 
 </p>
1635 
-<div class="main div" id="org140ccb6">
1635 
+<div class="main div" id="orgca99451">
1636 1636 
 <p>
1637 1637
1638 1638 
 </p>
 
@@ -1646,7 +1646,7 @@ from calculating either the field according to <a href="./ems_es_ef_ccd.html#E_v
1646 1646 
 or (often simpler) by calculating the electrostatic potential, using either the
1647 1647 
 explicit construction <a href="./ems_es_ep_d.html#p_vcd">p_vcd</a>
1648 1648 
 </p>
1649 
-<div class="main div" id="orgc35ae72">
1649 
+<div class="main div" id="orge64dc41">
1650 1650 
 <p>
1651 1651
1652 1652 
 </p>
 
@@ -1666,7 +1666,7 @@ condition <a href="./ems_es_ef_cE.html#curlE0">curlE0</a> can be expressed as th
1666 1666 
 <a href="./ems_es_ep_PL.html#Poi">🐟</a>
1667 1667 
 </p>
1668 1668
1669 
-<div class="core div" id="org7a45415">
1669 
+<div class="core div" id="orgd88f849">
1670 1670 
 <p>
1671 1671
1672 1672 
 </p>
 
@@ -1682,7 +1682,7 @@ condition <a href="./ems_es_ef_cE.html#curlE0">curlE0</a> can be expressed as th
1682 1682 
 <p>
1683 1683 
 In the specific case where the charge density vanishes, we fall back onto the simpler Laplace equation <a href="./ems_es_ep_PL.html#Lap">Lap</a>
1684 1684 
 </p>
1685 
-<div class="core div" id="orgb0ca256">
1685 
+<div class="core div" id="orgfefb816">
1686 1686 
 <p>
1687 1687
1688 1688 
 </p>
 
@@ -1720,7 +1720,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
1720 1720 
 </div>
1721 1721 
 <div id="postamble" class="status">
1722 1722 
 <p class="author">Author: Jean-Sébastien Caux</p>
1723 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
1723 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
1724 1724 
 <p class="validation"></p>
1725 1725 
 </div>
1726 1726

+ 19
- 19
build/ems_ca_fe_L.html View File 

@@ -1,7 +1,7 @@
1 1 
 <!DOCTYPE html>
2 2 
 <html lang="en">
3 3 
 <head>
4 
-<!-- 2022-02-21 Mon 20:41 -->
4 
+<!-- 2022-03-01 Tue 08:14 -->
5 5 
 <meta charset="utf-8">
6 6 
 <meta name="viewport" content="width=device-width, initial-scale=1">
7 7 
 <title>Pre-Quantum Electrodynamics</title>
 
@@ -1638,14 +1638,14 @@ In one dimension, the potential is a single-variable
1638 1638 
 function \(\phi (x)\) and the Laplace equation reads
1639 1639 
 </p>
1640 1640
1641 
-<div class="eqlabel" id="orgc3104bc">
1641 
+<div class="eqlabel" id="org46aafa7">
1642 1642 
 <p>
1643 1643 
 <a id="Lap_1d"></a><a href="./ems_ca_fe_L.html#Lap_1d"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1644 1644 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1645 1645 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1646 1646 
 </svg></a>
1647 1647 
 </p>
1648 
-<div class="alteqlabels" id="org7cf3c4b">
1648 
+<div class="alteqlabels" id="org459093f">
1649 1649
1650 1650 
 </div>
1651 1651 
 
@@ -1660,14 +1660,14 @@ function \(\phi (x)\) and the Laplace equation reads
1660 1660 
 <p>
1661 1661 
 The solution to this is
1662 1662 
 </p>
1663 
-<div class="eqlabel" id="org9c7d537">
1663 
+<div class="eqlabel" id="orged9e79a">
1664 1664 
 <p>
1665 1665 
 <a id="Lap_1d_sol"></a><a href="./ems_ca_fe_L.html#Lap_1d_sol"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1666 1666 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1667 1667 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1668 1668 
 </svg></a>
1669 1669 
 </p>
1670 
-<div class="alteqlabels" id="org9c28632">
1670 
+<div class="alteqlabels" id="org599dad5">
1671 1671 
 <ul class="org-ul">
1672 1672 
 <li>Gr (3.6)</li>
1673 1673 
 </ul>
 
@@ -1726,14 +1726,14 @@ In two dimensions, the potential becomes a function
1726 1726 
 of two variables (here: \(x\) and \(y\)), so Laplace's
1727 1727 
 equation now reads
1728 1728 
 </p>
1729 
-<div class="eqlabel" id="orgcb6bc04">
1729 
+<div class="eqlabel" id="orgdc4453f">
1730 1730 
 <p>
1731 1731 
 <a id="Lap_2d"></a><a href="./ems_ca_fe_L.html#Lap_2d"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1732 1732 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1733 1733 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1734 1734 
 </svg></a>
1735 1735 
 </p>
1736 
-<div class="alteqlabels" id="orgfa108be">
1736 
+<div class="alteqlabels" id="org259268b">
1737 1737
1738 1738 
 </div>
1739 1739 
 
@@ -1786,14 +1786,14 @@ a point equals its value averaged over a sphere
1786 1786 
 \(S_R({\bf r})\) of any radius \(R\) centered on this point
1787 1787 
 (and of course not containing any charges),
1788 1788 
 </p>
1789 
-<div class="eqlabel" id="orgfa4a823">
1789 
+<div class="eqlabel" id="org822a974">
1790 1790 
 <p>
1791 1791 
 <a id="p_ball_avg"></a><a href="./ems_ca_fe_L.html#p_ball_avg"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1792 1792 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1793 1793 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1794 1794 
 </svg></a>
1795 1795 
 </p>
1796 
-<div class="alteqlabels" id="org576e24c">
1796 
+<div class="alteqlabels" id="org57d10c8">
1797 1797
1798 1798 
 </div>
1799 1799 
 
@@ -1805,8 +1805,8 @@ a point equals its value averaged over a sphere
1805 1805 
 \]
1806 1806 
 </p>
1807 1807
1808 
-<details id="org6ed4b45">
1809 
-<summary id="org088d2fd">
1808 
+<details id="org0d796b5">
1809 
+<summary id="org6d53cda">
1810 1810 
 <strong>Physicist's proof</strong>
1811 1811 
 </summary>
1812 1812 
 <p>
 
@@ -1868,8 +1868,8 @@ proving the theorem.
1868 1868 
 </p>
1869 1869 
 </details>
1870 1870
1871 
-<details id="orgb01e597">
1872 
-<summary id="orgf937e13">
1871 
+<details id="org68c57fd">
1872 
+<summary id="org5db3c01">
1873 1873 
 <strong>Formal proof</strong>
1874 1874 
 </summary>
1875 1875 
 
@@ -1919,14 +1919,14 @@ we get the following general
1919 1919 
 <p>
1920 1920 
 <b>Theorem</b>:
1921 1921 
 </p>
1922 
-<div class="eqlabel" id="org5dbce0a">
1922 
+<div class="eqlabel" id="org59c453b">
1923 1923 
 <p>
1924 1924 
 <a id="dfdR_intLap"></a><a href="./ems_ca_fe_L.html#dfdR_intLap"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1925 1925 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1926 1926 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1927 1927 
 </svg></a>
1928 1928 
 </p>
1929 
-<div class="alteqlabels" id="org73f4d24">
1929 
+<div class="alteqlabels" id="org9481971">
1930 1930
1931 1931 
 </div>
1932 1932 
 
@@ -1979,19 +1979,19 @@ are necessarily positive, we thus require \(f_x &gt; 0\), \(f_y &gt; 0\) and \(f
1979 1979 
 of the \(f_x + f_y + f_z = 0\) condition above.
1980 1980 
 </p>
1981 1981
1982 
-<div class="eqlabel" id="org3cd4c43">
1982 
+<div class="eqlabel" id="org81bf520">
1983 1983 
 <p>
1984 1984 
 <a id="Earnshaw"></a><a href="./ems_ca_fe_L.html#Earnshaw"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
1985 1985 
   <path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
1986 1986 
   <path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
1987 1987 
 </svg></a>
1988 1988 
 </p>
1989 
-<div class="alteqlabels" id="org61c0e88">
1989 
+<div class="alteqlabels" id="orgf2a161c">
1990 1990
1991 1991 
 </div>
1992 1992
1993 1993 
 </div>
1994 
-<div class="info div" id="org9b11c3d">
1994 
+<div class="info div" id="orgd9c5641">
1995 1995 
 <p>
1996 1996 
 <b>Earnshaw's theorem (physical version)</b> <br>
1997 1997 
 </p>
 
@@ -2110,7 +2110,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
2110 2110 
 </div>
2111 2111 
 <div id="postamble" class="status">
2112 2112 
 <p class="author">Author: Jean-Sébastien Caux</p>
2113 
-<p class="date">Created: 2022-02-21 Mon 20:41</p>
2113 
+<p class="date">Created: 2022-03-01 Tue 08:14</p>
2114 2114 
 <p class="validation"></p>
2115 2115 
 </div>
2116 2116

+ 0
- 0
build/ems_ca_fe_g.html View File


Some files were not shown because too many files changed in this diff

Write Preview
Loading…
Cancel
Save