Published June 2002
| Version v1
Journal article
Separation of variables and subgroup bases on n-dimensional hyperboloids
- 1. Centre de Recherches Mathematiques, et Department de Mathematiques et Statistique, Universite de Montreal, C. P. 6128, succ. Centre Ville, Montreal, Quebec H3C 3J7 (Canada)
- 2. International Center for Advanced Studies, Yerevan State University, Alex Manougian St.1, Yerevan, 375049 (Armenia)
- 3. Centro de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, Apartado Postal 48-3, 62251 Cuernavaca, Morelos (Mexico)
Description
A graphical formalism is introduced for describing subgroup type coordinates on n-dimensional Lorentzian hyperboloids imbedded into n+1 dimensional Minkowski spaces. The O(n,1) group element is parametrized according to different subgroup chains, involving Lorentz, rotation, and Euclidean subgroups. The coordinates are then induced by the corresponding group action. Eigenfunctions of the Laplace-Beltrami operator are obtained as products of Jacobi functions, associated Legendre functions, and modified Bessel functions
Additional details
Identifiers
- DOI
- 10.1063/1.1467709;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 43
- Journal Issue
- 6
- Journal Page Range
- p. 3387-3410
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35004550
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BESSEL FUNCTIONS; EIGENFUNCTIONS; GROUP THEORY; JACOBIAN FUNCTION; LAPLACIAN; LEGENDRE POLYNOMIALS; LORENTZ TRANSFORMATIONS; MINKOWSKI SPACE; O GROUPS; POINCARE GROUPS; SYMMETRY
- Descriptors DEC
- DYNAMICAL GROUPS; FUNCTIONS; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; POLYNOMIALS; SPACE; SYMMETRY GROUPS; TRANSFORMATIONS
Optional Information
- Notes
- (c) 2002 American Institute of Physics.