Investigation of Quantum Chaos in the Parametric Dependent System of Interacting oscillators

Details Investigation of Quantum Chaos in the Parametric Dependent System of Interacting oscillators Investigation of Quantum Chaos in the Parametric Dependent System of Interacting oscillators

2004-10-09

arxiv.org/abs/nlin/0410008v1

Nonlinear Sciences

Chaotic Dynamics

9 figures. to be published in Mod.Phys.Lett.B

Scientific paper

10.1142/S0217984904007657

Formation of chaos in the parametric dependent system of interacting oscillators for the both classical and quantum cases has been investigated. Domain in which classical motion is chaotic is defined. It has been shown that for certain values of the parameters from this domain, form of the classical power spectrum is in a good agreement with the quantum band profile. Local density of states is calculated. The range in which application of perturbation theory is correct has been defined.

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