QUANTUM EIGENFUNCTIONS IN TERMS OF PERIODIC-ORBITS OF CHAOTIC SYSTEMS

被引：58

作者：

AGAM, O

FISHMAN, S

机构：

[1] Dept. of Phys., Technion, Haifa

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 09期

关键词：

D O I：

10.1088/0305-4470/26/9/010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A resummed formula for the Wigner function, corresponding to an eigenfunction of a chaotic system, in terms of periodic orbits, is developed. The infinite sum over periodic orbits is effectively truncated with the help of an extension of a method that was applied to the spectral determinant by Berry and Keating. In principle, the formula enables the computation of eigenstates and the probability density of wavefunctions from classical periodic orbits. The conditions for appearance of 'scars' are discussed.

引用

页码：2113 / 2137

页数：25

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