匀强电场中的量子平面转子

The Quantum Plane Rotator in Uniform Electric Field

本文用直接解马丢(Mathieu)方程的方法求得匀强电场中平面转子的能级与波函数的精确解,对在弱电场情况下低能级态与微扰法求得的结果进行了比较.结果是:只要精度足够高,各个能级都可分裂(基态除外),简并解除.

An exact result of energy eigen-values and eigen-functions of the quantum planerotator in uniform electric field is obtained by solving the Mathieu equation. With lower eigen-states in weak electric field compared with the results of perturbation calculations, the conclusion is drawn that every energy level can be divided into two levels and degeneracy is removed only if the order is high enough.