耦合系统混沌态的半经典量子化

Semiclassical Quantization of Chaotic States for a Coupled System

运用绝热定理的方法研究耦合系统混沌态的半经典量子化.发现对于合适选择的零级哈密顿量,经典混沌态和规则态的量子化结果,在绝热近似下有相近的精度.这个量子化方法可以很容易地直接应用到多自由度系统.

By the method of adiabatic theorem, this paper studies the semiclassical quantization of a chaotic state for a coupled system. It is found that for a properly chosen zeroth order Hamihonian, under adiabatic approximation, the result of quantization for both the chaotic state and the regular state has the similar precision. This method of quantization can be easily applied to multidimensional system.