Quantum ergodicity for restrictions to hypersurfaces

被引：24

作者：

Dyatlov, Semyon ^{[1
]}

Zworski, Maciej ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

NONLINEARITY | 2013年 / 26卷 / 01期

基金：

美国国家科学基金会;

关键词：

EIGENFUNCTIONS; SUBMANIFOLDS; BILLIARDS;

D O I：

10.1088/0951-7715/26/1/35

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quantum ergodicity theorem states that for quantum systems with ergodic classical flows, eigenstates are, on average, uniformly distributed on energy surfaces. We show that if N is a hypersurface in the position space satisfying a simple dynamical condition, the restrictions of eigenstates to N are also quantum ergodic.

引用

页码：35 / 52

页数：18

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