Localized eigenfunctions in Seba billiards
Journal Article
·
· Journal of Mathematical Physics
- School of Mathematics, University of Bristol, Bristol BS8 1TW (United Kingdom)
- School of Mathematics, Loughborough University, Loughborough, Leicestershire LE11 3TU (United Kingdom)
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.
- OSTI ID:
- 21362143
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 6 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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