Spectral statistics for quantized skew translations on the torus
Mathematical Physics
2009-10-31 v1 chao-dyn
math.MP
Chaotic Dynamics
Quantum Physics
Abstract
We study the spectral statistics for quantized skew translations on the torus, which are ergodic but not mixing for irrational parameters. It is shown explicitly that in this case the level--spacing distribution and other common spectral statistics, like the number variance, do not exist in the semiclassical limit.
Keywords
Cite
@article{arxiv.math-ph/9906026,
title = {Spectral statistics for quantized skew translations on the torus},
author = {Arnd Bäcker and Grischa Haag},
journal= {arXiv preprint arXiv:math-ph/9906026},
year = {2009}
}
Comments
7 pages. One figure, included