Abstract: The dynamical system discussed by this paper is a variable frequency isotropic oscillator perturbed by an inverse square potential. This paper gives the expression of the propagator of the Aharonov-Bohm(AB) effect for such a dynamical system. Furthermore, this paper gives the expression of wave function for the particular case of constant frequency.

Key words: propagator, wave function, Aharonov-Bohm effect, variable frequency isotropic oscillator, inverse square potential

摘要： 讨论的动力学系统为一受反平方势作用的各向同性变频率谐振子。文中给出了此动力学系统的阿哈罗诺夫·玻姆(AB)效应的传播子。此外，还给出了在常频率这一特殊情形下波函数表达式

关键词: 传播子, 波函数, 阿哈罗诺夫-玻姆效应, 各向同性变频率谐振子, 反平方势