Loughborough University
Browse

Localized eigenfunctions in Seba billiards

Download (358.05 kB)
journal contribution
posted on 2014-08-06, 12:17 authored by J.P. Keating, J. Marklof, Brian WinnBrian Winn
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 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 PHYSICS

Volume

51

Issue

6

Pages

? - ? (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 Physics

Version

  • VoR (Version of Record)

Publication date

2010

Notes

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

0022-2488

Language

  • en

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC