From Quantum Disorder to Quantum Chaos

被引：0

作者：

I. V. Gornyi

A. D. Mirlin

机构：

[1] Forschungszentrum Karlsruhe,Institut für Nanotechnologie

[2] Universität Karlsruhe,Institut für Theorie der Kondensierten Materie

来源：

Journal of Low Temperature Physics | 2002年 / 126卷

关键词：

Wave Function; Periodic Orbit; Magnetic Material; Free Path; Lyapunov Exponent;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the statistics of wave functions in a ballistic chaotic system. The statistical ensemble is generated by adding weak smooth random potential, which allows us to apply the ballistic σ-model approach. We analyze conditions of applicability of the σ-model, emphasizing the role played by the single-particle mean free path and the Lyapunov exponent due to the random potential. In particular, we present a resolution of the puzzle of repetitions of periodic orbits counted differently by the σ-model and by the trace formula.

引用

页码：1339 / 1354

页数：15