Localized eigenfunctions in Seba billiards
journal contribution
posted on 2014-08-06, 12:17 authored by J.P. Keating, J. Marklof, Brian WinnBrian WinnWe 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 Šeba billiards that localize around a pair of unperturbed
eigenfunctions.
Funding
This work has been supported by an EPSRC Senior Research Fellowship J.P.K., a Royal Society Wolfson Research Merit Award J.M., and the National Science Foundation under research Grant No. DMS-0604859 B.W.
History
School
- Science
Department
- Mathematical Sciences
Published in
JOURNAL OF MATHEMATICAL PHYSICSVolume
51Issue
6Pages
? - ? (19)Citation
KEATING, J.P., MARKLOF, J. and WINN, B., 2010. Localized eigenfunctions in Seba billiards. Journal of Mathematical Physics, 51, 062101, 19pp.Publisher
© American Institute of PhysicsVersion
- VoR (Version of Record)
Publication date
2010Notes
Copyright (2010) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.ISSN
0022-2488Publisher version
Language
- en
