Published November 2006
| Version v1
Journal article
The Selberg trace formula for Dirac operators
Creators
- 1. Institut fuer Theoretische Physik, Universitaet Ulm, Albert-Einstein-Allee 11, D-89069 Ulm (Germany)
Description
We examine spectra of Dirac operators on compact hyperbolic surfaces. Particular attention is devoted to symmetry considerations, leading to nontrivial multiplicities of eigenvalues. The relation to spectra of Maass-Laplace operators is also exploited. Our main result is a Selberg trace formula for Dirac operators on hyperbolic surfaces
Additional details
Identifiers
- DOI
- 10.1063/1.2359578;
- arXiv
- arXiv:math-ph/0607010v1;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 47
- Journal Issue
- 11
- Journal Page Range
- p. 112104-112104.16
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38024387
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIRAC OPERATORS; EIGENVALUES; GEOMETRY; LAPLACIAN; MULTIPLICITY; QUANTUM MECHANICS; SURFACES; SYMMETRY
- Descriptors DEC
- MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; QUANTUM OPERATORS
Optional Information
- Notes
- (c) 2006 American Institute of Physics