Article (Scientific journals)
Near integrable systems
Bogomolny, E.; Dennis, M. R.; Dubertrand, Rémy
2009In Journal of Physics. A, Mathematical and General, p. 335102
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Keywords :
Solutions of wave equations; Semiclassical methods
Abstract :
[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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