Near integrable systems

[en] 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.

Disciplines :

Physics

Author, co-author :

Bogomolny, E.

Dennis, M. R.

Dubertrand, Rémy ; Université de Liège - ULiège > Département de physique > Optique quantique

Language :

English

Title :

Near integrable systems

Publication date :

July 2009

Journal title :

Journal of Physics. A, Mathematical and General

ISSN :

0305-4470

eISSN :

1361-6447

Publisher :

Institute of Physics, Bristol, United Kingdom

Pages :

335102

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 13 February 2015

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Bibliography

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