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Basics Potential Solutions

In this section we look for the basic solutions to Laplace's equation in the three main coordinate systems. In each case we will assume that there is some symmetry so that the solutions only depend on two of the three coordinates.

Subsections

Cartesian Coordinates,
- Separable Solutions
- Analytical Functions of a Complex Variable
Cylindrical Coordinates, $F(R,\phi )$
Spherical Coordinates - $F(r, \theta )$

Prof. Alan Hood
2000-11-06