Pre-Quantum Electrodynamics
Separation of Variablesems.ca.sv
- Gr 3.3
In many cases, we can't just guess the form of the potential, and calculating it by explicit integration might feel daunting. However, if the setup contains some boundaries which are specified by simple conditions (in the appropriate coordinate system), then the solutions to Laplace's equation factorize into independent (simpler) pieces.
We illustrate the idea by simple examples.
In this section:
- Cartesian Coordinatesems.ca.sv.car
- Cylindrical Coordinatesems.ca.sv.cyl
- Spherical Coordinatesems.ca.sv.sph
Except where otherwise noted, all content is licensed under a
Creative Commons Attribution 4.0 International License.
Created: 2024-02-27 Tue 10:31