含时阻尼谐振子的传播子与严格波函数

PROPAGATOR AND EXACT WAVE FUNCTION OF THE TIME DEPENDENTLY DAMPED HARMONIC OSCILLATOR

通过正则化变换技巧 ,寻找到一种对阻尼系数随时间变化的阻尼谐振子直接量子化方案 ,进而采用高斯型传播子和费曼路径积分方法求出了含时阻尼谐振子的严格波函数 ,并对波函数的普遍意义 。

By means of canonical transformation, a direct quantization scheme is found for a harmonic oscillator whose damping coefficient is time-dependent. By adopting the Gaussian-type propagator and Feynman's path integral method, the exact wave function is derived. Some discussions made.