SEMICLASSICAL WIGNER FUNCTIONS FOR QUANTUM MAPS ON A TORUS

被引：22

作者：

AGAM, O

BRENNER, N

机构：

[1] Dept. of Phys., Technion-Israel Inst. of Technol., Haifa

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 05期

关键词：

D O I：

10.1088/0305-4470/28/5/020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：1345 / 1360

页数：16

共 37 条

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