DiscoverMathematics and Physics of Anderson Localization: 50 Years AfterNear integrable systems
Near integrable systems

Near integrable systems

Update: 2012-09-25
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A two-dimensional circular quantum billiard with unusual boundary conditions introduced by Berry and Dennis (J Phys A 41 (2008) 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. The results agree well with numerical calculations.
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Near integrable systems

Near integrable systems

Cambridge University