Near integrable systems

E. Bogomolny; M. R. Dennis; Remy Dubertrand

doi:10.1088/1751-8113/42/33/335102

Near integrable systems

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

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Abstract

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 language	English
Article number	335102
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Issue number	33
Early online date	30 Jul 2009
DOIs	https://doi.org/10.1088/1751-8113/42/33/335102
Publication status	Published - 21 Aug 2009
Externally published	Yes

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0902.2089Accepted author manuscript, 352 KB

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Near integrable systems

Abstract

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