| 一种推导氢原子能级和定态波函数的方法 |
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| 引用本文： | 武银兰,黄莹. 一种推导氢原子能级和定态波函数的方法[J]. 太原理工大学学报, 2002, 33(4): 465-468 |
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| 作者姓名： | 武银兰 黄莹 |
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| 作者单位： | 太原理工大学理学院 |
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| 摘 要： | 用微积分方法推导出球谐函数表示式，并由此求出有心力场中质点角动量投影△↑Lz及角动量平方△↑L^2的本征值，推导了氢原子的能级和相应的量子数n,l,m的定态波函数，数字运算较简便。
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| 关 键 词： | 氢原子 球谐函数 拉普拉斯方程 能级 定态波函数 微积分 量子力学 |
| 文章编号： | 1007-9432(2002)04-0465-04 |
| 修稿时间： | 2001-11-27 |
A Derivation of Energy Levels and Stationary States of Hydrogen Atom |
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| Wu Yinlan,Huang Ying. A Derivation of Energy Levels and Stationary States of Hydrogen Atom[J]. Journal of Taiyuan University of Technology, 2002, 33(4): 465-468 |
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| Authors: | Wu Yinlan Huang Ying |
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| Affiliation: | The Science College of TUT |
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| Abstract: | Mathematical formulas for spherical harmonics are derived by elementary calculus. Eigenvalues of L z ^ and L 2 ^ for angular momentum in a entral force field are derived as well as the energy levels and stationary wave functions for hydrogen atom,The method is simple and straightforward. |
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| Keywords: | Spherical harmonics Laplace equation Energy level Stationary wave functions |
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