SEMICLASSICAL WIGNER FUNCTIONS FOR QUANTUM MAPS ON A TORUS

Authors
AGAM O BRENNER N
Citation
O. Agam et N. Brenner, SEMICLASSICAL WIGNER FUNCTIONS FOR QUANTUM MAPS ON A TORUS, Journal of physics. A, mathematical and general, 28(5), 1995, pp. 1345-1360
Citations number
40
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
5
Year of publication
1995
Pages
1345 - 1360
Database
ISI
SICI code
0305-4470(1995)28:5<1345:SWFFQM>2.0.ZU;2-I
Abstract
A semiclassical formula is derived for the Wigner representation of th e quasi-energy states of a quantum map on a torus. It is expressed as a finite sum over the classical fixed points of the map. A criterion f or the appearance of 'scars' is presented. Semiclassical Wigner functi ons of the cat map are calculated and shown to reproduce the exact qua ntum mechanical results.