Published June 2010
| Version v1
Journal article
Localized eigenfunctions in Seba billiards
Creators
- 1. School of Mathematics, University of Bristol, Bristol BS8 1TW (United Kingdom)
- 2. School of Mathematics, Loughborough University, Loughborough, Leicestershire LE11 3TU (United Kingdom)
Description
We describe some new families of quasimodes for the Laplacian perturbed by the addition of a potential formally described by a Dirac delta function. As an application, we find, under some additional hypotheses on the spectrum, subsequences of eigenfunctions of Seba billiards that localize around a pair of unperturbed eigenfunctions.
Additional details
Identifiers
- DOI
- 10.1063/1.3393884;
- arXiv
- arXiv:0909.3797v2;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 51
- Journal Issue
- 6
- Journal Page Range
- p. 062101-062101.19
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41096694
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- DELTA FUNCTION; EIGENFUNCTIONS; EIGENVALUES; FUNCTIONAL ANALYSIS; HYPOTHESIS; LAPLACIAN; PERTURBATION THEORY
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICS
Optional Information
- Notes
- (c) 2010 American Institute of Physics