Characteristics of the Wave Function of Coupled Oscillators in Semiquantum Chaos

Details Characteristics of the Wave Function of Coupled Oscillators in Semiquantum Chaos Characteristics of the Wave Function of Coupled Oscillators in Semiquantum Chaos

2007-07-30

arxiv.org/abs/0707.4376v1

Physics Letters A 300, 199 (2002)

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1016/S0375-9601(02)00756-9

Using the method of adiabatic invariants and the Born-Oppenheimer approximation, we have successfully got the excited-state wave functions for a pair of coupled oscillators in the so-called \textit{semiquantum chaos}. Some interesting characteristics in the \textit{Fourier spectra} of the wave functions and its \textit{Correlation Functions} in the regular and chaos states have been found, which offers a new way to distinguish the regular and chaotic states in quantum system.

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