A linear chaotic quantum harmonic oscillator

被引：23
|
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.
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页码：15 / 19
页数：5
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