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 1079-7114 (https://doi.org/10.1103/PhysRevLett.81.3124)

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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.

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• Item metadata

  Item type:	Article
  ID code:	6441
  Dates:	Date Event 12 October 1998 Published
  Subjects:	Science > Physics > Optics. Light Science > Physics
  Department:	Faculty of Science > Physics
  Depositing user:	Miss Darcy Spiller
  Date deposited:	07 Jul 2008
  Last modified:	18 Nov 2024 01:02
  URI:	https://strathprints.strath.ac.uk/id/eprint/6441