Published September 2003
| Version v1
Journal article
The eigenvalue equation on the Eguchi-Hanson space
Creators
- 1. Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139 (United States)
Description
We consider the eigenvalue equation for the Laplace-Beltrami operator acting on scalar functions on the noncompact Eguchi-Hanson space. The corresponding differential equation is reducible to a confluent Heun equation with Ince symbol [0,2,12]. We construct approximations for the eigenfunctions and their asymptotic scattering phases with the help of the Liouville-Green approximation (WKB). Furthermore, for specific discrete eigenvalues obtained by a continued T-fraction we construct the solution by the Frobenius method and determine its scattering phase by a monodromy computation
Additional details
Identifiers
- DOI
- 10.1063/1.1579548;
- arXiv
- arXiv:math/0210081v2;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 44
- Journal Issue
- 9
- Journal Page Range
- p. 4308-4343
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35052982
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- DIFFERENTIAL EQUATIONS; EIGENVALUES; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; TOPOLOGY
- Descriptors DEC
- EQUATIONS; MATHEMATICS; SPACE
Optional Information
- Notes
- (c) 2003 American Institute of Physics.