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KAM for the Quantum Harmonic Oscillator

✍ Scribed by Benoît Grébert; Laurent Thomann


Publisher
Springer
Year
2011
Tongue
English
Weight
500 KB
Volume
307
Category
Article
ISSN
0010-3616

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A linear chaotic quantum harmonic oscill
✍ J. Duan; X.-C. Fu; P.-D. Liu; A. Manning 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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