INTEGRAL RELATIONS AND SYMMETRY GROUP EXPANSIONS FOR THE HELMHOLTZ-EQUATION

Authors
FALKOVSKY LA KLAMA S
Citation
La. Falkovsky et S. Klama, INTEGRAL RELATIONS AND SYMMETRY GROUP EXPANSIONS FOR THE HELMHOLTZ-EQUATION, Journal of physics. A, mathematical and general, 29(17), 1996, pp. 5627-5635
Citations number
8
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
17
Year of publication
1996
Pages
5627 - 5635
Database
ISI
SICI code
0305-4470(1996)29:17<5627:IRASGE>2.0.ZU;2-W
Abstract
New integral relations between the eigenfunctions (Bessel functions an d Legendre functions) of the Helmholtz equation in spherical, cylindri cal and Cartesian coordinate systems are obtained. Expansion of partic ular solutions in one coordinate system with respect to eigenfunctions of the same equation in another coordinate system is applied. A stati onary phase method is used to find the expansion coefficients.