On a Linear Chaotic Quantum Harmonic Oscillator

Details On a Linear Chaotic Quantum Harmonic Oscillator On a Linear Chaotic Quantum Harmonic Oscillator

1998-05-25

arxiv.org/abs/chao-dyn/9805023v1

Nonlinear Sciences

Chaotic Dynamics

LaTex file. Applied Mathematics Letters, to appear

Scientific paper

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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