系统研究氢原子Stark能谱的数值方法

THE NUMERICAL METHOD FOR STUDYING STARK SPECTRUM OF HYDROGEN ATOM

本文利用抛物坐标,将稳定外电场下的Schrodinger方程分离变量。通过标度变换,引入t参量代替能级E和外电场F。用数值方法系统地、准确地研究氢原子Stark谱的位置,大大地简化了计算。我们计算了n_1≤17,n_2≤17,m=0,1,任意外电场F下的能级。计算结果与实验及其他理论计算相符合。

The Schrodinger equation of hydrogen atom in static external electric field was solved by numerical method in parabolic coordinate. Through scaling transform, field F and energy level E are replaced by parameter t.It has made dramatically simplify the calculation and given the Stark level of hydrogen atom systematically and exactly. We have did the levels of m=0, n1≤17,n2≤17 in arbitrary intensity of dc field. The results coincided with all published data.