A linear chaotic quantum harmonic oscillator

被引：24

作者：

Duan, J ^{[1
]}

Fu, XC

Liu, PD

Manning, A

机构：

[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

[3] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

[4] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 01期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

infinite dimension; quantum oscillator; linear chaotic system;

D O I：

10.1016/S0893-9659(98)00119-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a, linear quantum harmonic oscillator is chaotic in the sense of Li-Yorke. We also prove that the weighted backward shift map (used as an infinite-dimensional linear chaos model) in a separable Hilbert space is chaotic in the sense of Li-Yorke, in addition to being chaotic in the sense of Devaney. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：15 / 19

页数：5

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