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Band distributions for quantum chaos on a torus

Dana, Itzhack and Feingold, Mario and Wilkinson, Michael (1998) Band distributions for quantum chaos on a torus. Physical Review Letters, 81 (15). 3124 -3127. ISSN 0031-9007

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    Abstract

    Band distributions (BDs) are introduced describing quantization in a toral phase space. A BD is the uniform average of an eigenstate phase-space probability distribution over a band of toral boundary conditions. A general explicit expression for the Wigner BD is obtained. It is shown that the Wigner functions for all of the band eigenstates can be reproduced from the Wigner BD. Also, BDs are shown to be closer to classical distributions than eigenstate distributions. Generalized BDs, associated with sets of adjacent bands, are used to extend in a natural way the Chern-index characterization of the classical-quantum correspondence on the torus to arbitrary rational values of the scaled Planck constant.

    Item type: Article
    ID code: 6441
    Keywords: band distribution, torus, toral phase space, toral boundary, Wigner, Chern-index, quantum, quantum physics, Optics. Light, Physics
    Subjects: Science > Physics > Optics. Light
    Science > Physics
    Department: Unknown Department
    Related URLs:
    Depositing user: Miss Darcy Spiller
    Date Deposited: 07 Jul 2008
    Last modified: 31 Aug 2011 11:54
    URI: http://strathprints.strath.ac.uk/id/eprint/6441

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