INVESTIGATION OF QUANTUM CHAOS IN THE PARAMETRIC DEPENDENT SYSTEM OF INTERACTING OSCILLATORS

The formation of chaos in the parametric dependent system of interacting oscillators for both classical and quantum cases has been investigated. The domain in which classical motion is chaotic is defined. It has been shown that for certain values of the parameters from this domain, the 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.