Part of the Fundamental Theories of Physics book series (FTPH, volume 145)
Static Potentials in Vacuum — Laplace’s Equation
KeywordsPotential Versus Real Axis Static Potential Parallel Plate Capacitor Conducting Sphere
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- 15.For for a dictionary of Schwarz-Christoffel transformations, see for instance K.J. Binns and P.J. Lawrenson. (1973) Analysis and Computation of Electric and Magnetic Field Problems, 2nd ed. Pergamon Press, New York.Google Scholar
- 16.Toroidal coordinates are discussed in Appendix B. The metric tensor, curl, grad, div, and the Laplacian for a large number of orthogonal coordinate systems may be found in Parry Moon and Domina E. Spencer. (1961) Field Theory Handbook, Springer-Verlag, Berlin. The separation of the Laplace equation and the Helmholtz equation is effected for each of the coordinate systems in this small volume, and the general solutions are given.Google Scholar
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