A linear chaotic quantum harmonic oscillator

✍ Scribed by J. Duan; X.-C. Fu; P.-D. Liu; A. Manning

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 234 KB
• Volume: 12
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(98)00119-0

✦ Synopsis

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. (~) 1998 Elsevier Science Ltd. All rights reserved.