The problem of quantum chaos in a kicked harmonic oscillator

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Abstract
Quantum chaos in a kicked harmonic oscillator is analysed. Under the condition of strong chaos of the classical limit, the time of classical description of quantum averages is shown to be of the order of nh(cross) approximately ln(1/h(cross)). In the case of weak classical chaos this time considerably increases: nl approximately l/h(cross)>>nh(cross). The properties of symmetry for quasi-energy functions are discussed for different parameters of the system. The results of numerical analysis for the dependence of oscillator energy on time are given. The possibility of delocalization of quasi-energy eigenfunctions is discussed.

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