周期受击简谐振子系统的经典与量子动力学

Classical and Quantum Dynamics of a Periodically Kicked Harmonic Oscillator

研究一个周期受击简谐振子系统的经典与量子动力学.研究发现,随着打击强度κ的增加,经典相空间发生分形时,一步时间演化算符的本征值分布也从单位圆的圆周上朝着圆心扩散.而当本征值归一化后,归一化后的本征值分布又回到单位圆周上.

This paper studies the classical and quantum dynamics of a periodically kicked Harmonic oscillator system.It is found that as we increase the kicking strength κ,and fractal takes place in classical phase space,the eigenvalue distribution of the one step time evolution operator will diffuse toward the center of the unit circle,from on the unit circle.When the eigenvalues are normalized,the normalized eigenvalue distribution will back to on the unit circle.