含时微扰Schrdinger方程的精确求解与量子跃迁

Exact solution of Schrdinger equation with time-dependent perturbation and the quantum transition

在有关量子跃迁的问题中,含时微扰理论给出了跃迁概率振幅的一级近似解.本文通过计算指出,若微扰只与时间有关,则体系的波函数可以精确求解,从而得到跃迁概率振幅的精确表达式.

In some problems in quantum transition, time-dependent perturbation theory gives the first order approximation of transition probability amplitude. It is pointed out that the wave function of system can be exactly solved if the perturbation only depends on the time, and the exact expression of transition probability amplitude can be obtained.