Emergence of quantum ergodicity in rough billiards

被引：45

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 / 79卷 / 10期

关键词：

D O I：

10.1103/PhysRevLett.79.1833

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By analytical mapping of the eigenvalue problem in rough billiards onto a band random matrix model, a new regime of Wigner ergodicity is found. There, the eigenstates are extended over the whole energy surface but have a strongly peaked nonergodic structure. At the same time the level spacing statistics is still given by the Wigner-Dyson distribution.

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页码：1833 / 1836

页数：4

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