h expansion for the periodic orbit quantization of chaotic systems

被引：42

作者：

Alonso, D. ^{[1
]}

Gaspard, P. ^{[1
]}

机构：

[1] Univ Libre Bruxelles, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium

来源：

CHAOS | 1993年 / 3卷 / 04期

关键词：

D O I：

10.1063/1.165964

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We report the results of a periodic orbit quantization of classically chaotic billiards beyond Gutzwiller approximation in terms of asymptotic series in powers of the Planck constant (or in powers of the inverse of the wave number kappa in billiards). We derive explicit formulas for the kappa(-1) approximation of our semiclassical expansion. We illustrate our theory with the classically chaotic scattering of a wave on three disks. The accuracy on the real parts of the scattering resonances is improved by one order of magnitude.

引用

页码：601 / 612

页数：12

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