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On a Linear Chaotic Quantum Harmonic Oscillator

Jinqiao Duan·Xin-Chu Fu·Pei-De Liu·Anthony Manning
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Abstract

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.

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Jinqiao Duan, Xin-Chu Fu, Pei-De Liu, Anthony Manning. 1998-05-25. On a Linear Chaotic Quantum Harmonic Oscillator. https://arxiv.org/abs/chao-dyn/9805023

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