Semiclassical Wigner functions for quantum maps on a torus

O. Agam*, N. Brenner

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


A semiclassical formula is derived for the Wigner representation of the 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 for the appearance of 'scars' is presented. Semiclassical Wigner functions of the cat map are calculated and shown to reproduce the exact quantum mechanical results.

Original languageAmerican English
Article number020
Pages (from-to)1345-1360
Number of pages16
JournalJournal of Physics A: Mathematical and General
Issue number5
StatePublished - 1995
Externally publishedYes


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