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arXiv 1998-05-25 0 views

On a Linear Chaotic Quantum Harmonic Oscillator

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

Original · EN

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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