Quantum localization in rough billiards

被引：93

作者：

Frahm, KM ^{[1
]}

Shepelyansky, DL ^{[1
]}

机构：

[1] BUDKER INST NUCL PHYS,NOVOSIBIRSK 630090,RUSSIA

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.78.1440

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the level spacing statistics p(s) and eigenfunction properties in a billiard with a rough boundary. Quantum effects lead to localization of classical diffusion in the angular momentum space and the Shnirelman peak in p(s) at small s. The ergodic regime with Wigner-Dyson statistics is identified as a function of roughness. Applications to Q spoiling in optical resonators are also discussed.

引用

页码：1440 / 1443

页数：4

共 19 条

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