Near integrable systems

E. Bogomolny, M. R. Dennis, R. Dubertrand

Research output: Contribution to journalArticle (Academic Journal)peer-review

6 Citations (Scopus)


A two-dimensional circular quantum billiard with unusual boundary conditions introduced by Berry and Dennis (2008 J. Phys. A: Math. Theor. 41 135203) is considered in detail. It is demonstrated that most of its eigenfunctions are strongly localized and the corresponding eigenvalues are close to eigenvalues of the circular billiard with Neumann boundary conditions. Deviations from strong localization are also discussed. These results agree well with numerical calculations.

Original languageEnglish
Article number335102
Pages (from-to)-
Number of pages25
JournalJournal of Physics A: Mathematical and Theoretical
Issue number33
Publication statusPublished - 21 Aug 2009

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