Spectral statistics for quantized skew translations on the torus
Arnd Bäcker; Grischa Haag; Arnd Bäcker; Abteilung Theoretische Physik, Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Federal Republic of Germany; Grischa Haag; Abteilung Theoretische Physik, Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Federal Republic of Germany
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1999-09-10
Аннотация:
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.
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