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Linear chaos in the quantum harmonic oscillator

โœ Scribed by Xinxing Wu,Peiyong Zhu

Book ID
126359783
Publisher
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Year
2014
Tongue
English
Weight
163 KB
Volume
27
Category
Article
ISSN
1009-6124

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A linear chaotic quantum harmonic oscill
A linear chaotic quantum harmonic oscillator
โœ J. Duan; X.-C. Fu; P.-D. Liu; A. Manning ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 234 KB

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 o