Localization in a rough billiard: A sigma-model formulation

被引：12

作者：

Frahm, KM

机构：

[1] Laboratoire de Physique Quantique, UMR 5626 du CNRS, UniversitéPaul Sabatier

来源：

PHYSICAL REVIEW B | 1997年 / 55卷 / 14期

关键词：

D O I：

10.1103/PhysRevB.55.R8626

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the quantum dynamics of a particle in a weakly rough billiard. The Floquet operator for reflection at the boundary is obtained as a unitary band matrix. The resulting dynamics in angular momentum space can be treated in the framework of the one-dimensional supersymmetric nonlinear a model. We find analytically localization and the corresponding localization length xi=D-cl where D-cl is the classical diffusion constant due to boundary scattering.

引用

页码：R8626 / R8629

页数：4

共 23 条

[1] QUANTUM SHELL EFFECT ON DISSOCIATION-ENERGIES, SHAPES, AND THERMAL-PROPERTIES OF METALLIC CLUSTERS FROM THE RANDOM-MATRIX MODEL [J].