NOTE ON CONVERSE QUANTUM ERGODICITY

被引：11
|
作者：
Gutkin, Boris [1 ]
机构：
[1] Univ Duisburg Essen, Fachbereich Phys, D-47048 Duisburg, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 08期
关键词：
BILLIARDS;
D O I：
10.1090/S0002-9939-09-09849-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Quantum ergodicity asserts that eigenstates of a system with classical ergodic dynamics must be "equidistributed" in the phase space. In the present note we show that the converse is not true. We provide an example of billiards which are quantum ergodic but not classically ergodic.
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页码：2795 / 2800
页数：6
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