Spectral statistics for quantized skew translations on the torus

Physics – Mathematical Physics

Scientific paper

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Details

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.

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