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.
M. Degli Esposti, B. Winn (2005). The quantum perturbed cat map and symmetry. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 38, 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:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
