Portal de Periódicos da CAPES

Band Distributions for Quantum Chaos on a Torus

1998; American Physical Society; Volume: 81; Issue: 15 Linguagem: Inglês

10.1103/physrevlett.81.3124

1092-0145

Itzhack Dana, Mario Feingold, Michael Wilkinson,

Quantum and electron transport phenomena

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.