Transition of Anharmonic Oscillator System from Regular to Irregular Classical Motion and the Behaviour of Its Corresponding Quantum System

摘要

The Lyapunov exponents of two-dimensional anharmonic oscillator systems are studied through numerical calculations. The result shows that the systems consist of regular and irregular regions in phase space in classical limit. The corresponding quantum systems are investigated. The distribution P(s) of spacings between adjacent energy levels indicates corresponding transition from Poisson-like distribution to Wigner-like distribution. P(s) is dependent on the total irregular fraction of phase space. (author). 9 refs, 6 figs. (Atomindex citation 20:023829)