We investigate a class of quantum symmetries of the perturbed cat map which exist only for a subset of possible values of Planck's constant. The effect of these symmetries is to change the spectral statistics along this positive-density subset. The symmetries are shown to be related to some simple classical symmetries of the map.
The quantum perturbed cat map and symmetry / M. Degli Esposti; B. Winn. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 38:(2005), pp. 1-18. [10.1088/0305-4470/35/26/005]
The quantum perturbed cat map and symmetry
DEGLI ESPOSTI, MIRKO;
2005
Abstract
We investigate a class of quantum symmetries of the perturbed cat map which exist only for a subset of possible values of Planck's constant. The effect of these symmetries is to change the spectral statistics along this positive-density subset. The symmetries are shown to be related to some simple classical symmetries of the map.File in questo prodotto:
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