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 type: Article ID code: 6441 Dates: DateEvent12 October 1998PublishedSubjects: Science > Physics > Optics. Light
Science > PhysicsDepartment: Faculty of Science > Physics Depositing user: Miss Darcy Spiller Date deposited: 07 Jul 2008 Last modified: 05 Sep 2024 00:40 URI: https://strathprints.strath.ac.uk/id/eprint/6441