On a Linear Chaotic Quantum Harmonic Oscillator
Jinqiao Duan, Xin-Chu Fu, Pei-De Liu, Anthony Manning
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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