Abstract
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 language | English |
|---|---|
| Article number | 020 |
| Pages (from-to) | 1345-1360 |
| Number of pages | 16 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 28 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1995 |
| Externally published | Yes |