Physical interpretation of certain solutions to the Laplace equation

Details Physical interpretation of certain solutions to the Laplace equation Physical interpretation of certain solutions to the Laplace equation

Dec 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975azh....52.1309b&link_type=abstract

Astronomicheskii Zhurnal, vol. 52, Nov.-Dec. 1975, p. 1309-1313. In Russian.

Computer Science

Numerical Analysis

Coordinate Transformations, Laplace Equation, Numerical Analysis, Potential Fields, Density Distribution, Green'S Functions, Magnetic Charge Density, Maxwell Equation, Quadrupoles

Scientific paper

Solutions to the Laplace equation in axisymmetric coordinates and which satisfy the conditions of the Staeckel theorem are interpreted in real space as potentials of single and double layers whose density distribution is defined by Green's theorem. The solutions in oblate spheroidal, prolate spheroidal, spherical, parabolic, and angular cylindrical coordinates are analyzed and interpreted in this manner.

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