On a Linear Chaotic Quantum Harmonic Oscillator
chao-dyn
2007-05-23 v1 混沌动力学
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.
引用
@article{arxiv.chao-dyn/9805023,
title = {On a Linear Chaotic Quantum Harmonic Oscillator},
author = {Jinqiao Duan and Xin-Chu Fu and Pei-De Liu and Anthony Manning},
journal= {arXiv preprint arXiv:chao-dyn/9805023},
year = {2007}
}
备注
LaTex file. Applied Mathematics Letters, to appear