HARMONIC EXPANSIONS OF COULOMB POTENTIAL IN CYLINDRICAL, PARABOLIC AND SPHEROIDAL COORDINATES

Authors
LEYKOO E GONGORA A
Citation
E. Leykoo et A. Gongora, HARMONIC EXPANSIONS OF COULOMB POTENTIAL IN CYLINDRICAL, PARABOLIC AND SPHEROIDAL COORDINATES, Revista Mexicana de Fisica, 39(5), 1993, pp. 785-798
Citations number
8
Categorie Soggetti
Physics
Journal title
Revista Mexicana de Fisica → ACNP
ISSN journal
0035001X
Volume
39
Issue
5
Year of publication
1993
Pages
785 - 798
Database
ISI
SICI code
0035-001X(1993)39:5<785:HEOCPI>2.0.ZU;2-4
Abstract
We construct the harmonic expansions of Coulomb's potential in circula r cylindrical, parabolic, and both prolate and oblate spheroidal coord inates, as alternatives to the well-known multipolar expansion in sphe rical coordinates. These expansions are useful and necessary in the st udy of physical systems possessing symmetries and satisfying boundary conditions associated with the geometries of the respective coordinate s.