Physics – Mathematical Physics
Scientific paper
1999-06-29
J. Phys. A 32 (1999) L393-L398
Physics
Mathematical Physics
7 pages. One figure, included
Scientific paper
10.1088/0305-4470/32/36/101
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.
Bäcker Arnd
Haag Grischa
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