摘要
本文利用路径积分和广义正则变换方法求出了一类受任意外力作用的质量与频率随时间变化的谐振子的传播子,并对受迫阻尼谐振子及具有强脉动质变的受迫谐振子两种情形作了具体的讨论。
In this paper,the exact propagator for the driven harmonic oscillator with time-dependent mass and frequency is obtained by a generalized canonical transformation and path integral method. The driven damped harmonic oscillator and the driven harmonic oscillator with srtongly pulsating mass are discussed as illustrative examples.
关键词
传播子
谐振子
路径积分
正则变换
ropagator
harmonic oscillator
path integral
canonical transformation