Localized eigenfunctions in Šeba billiards

J. P. Keating, J. Marklof, B. Winn*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number050004JMP
JournalJournal of Mathematical Physics
Volume51
Issue number6
DOIs
Publication statusPublished - 1 Jun 2010

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