基于高斯基展开法研究氢原子能级和波函数  

Hydrogen atom energy levels and wave functions based on Gaussian expansion method

作　　者：潘亚文 耿立升[1] PAN Ya-wen;GENG Li-sheng(School of Physics,Beihang University,Beijing 100191,China)

机构地区：[1]北京航空航天大学物理学院,北京100191

出　　处：《大学物理》2023年第5期18-21,37,共5页College Physics

基　　金：自然科学基金(11975041,11735003,11961141004)资助。

摘　　要：本文采用高斯基展开法精确求解氢原子能级,并且研究高斯基展开法中变分参数的选取对于结果精确度的影响.程序采用Python语言编写,这一求解方法为计算物理、量子力学等课程的教学提供了参考.In this paper,the Gaussian expansion method is used to accurately solve the Schrodinger equation of the hydrogen atom and obtain its energy levels and wave functions.The influence of the selection of variational parameters in the Gaussian expansion method on the accuracy of the results is studied.The program is written in Python,and this method and accompanying code can be beneficial to teachers and students in teaching and learning computational physics and quantum physics.

关 键 词：高斯基展开法 氢原子能级 氢原子波函数 

分 类 号：O4-1[理学—物理]