嘉应学院学报2024,Vol.42Issue(6) :89-94.

拉盖尔多项式和氢原子中电子径向几率密度的计算与作图

The Laguerre Polynomial and Radial Probability Density of Electron in Hydrogen Atom Studied by Computer Assistance

易学华 刘根良 郭俊广
嘉应学院学报2024,Vol.42Issue(6) :89-94.

拉盖尔多项式和氢原子中电子径向几率密度的计算与作图

The Laguerre Polynomial and Radial Probability Density of Electron in Hydrogen Atom Studied by Computer Assistance

易学华 1刘根良 2郭俊广1
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作者信息

  • 1. 嘉应学院物理与电子工程学院,广东梅州 514015
  • 2. 中山市三乡南峰学校,广东中山 528400
  • 折叠

摘要

拉盖尔多项式和缔合拉盖尔多项式构成氢原子中电子的径向波函数和径向几率密度函数,应用计算机作图功能,采用递推算法,或者用MATLAB工具箱,很容易解决这类函数的计算和作图问题.在数学物理方法和量子力学的教学中,对电子教案的制作带来许多便利.

Abstract

The racial wave function and radial probability density function of electron in hydrogen atom are composed of Laguerre polynomials and associated Laguerre polynomial.It is easy to calculate and graph them using descending arithmetic or the toolbox of MATLAB in computer graphics.It is useful to make electron teaching plan,and helpful to teach mathematical methods of physics and quantum mechanics.

关键词

拉盖尔多项式/数学物理方法/量子力学/几率密度/计算机绘图

Key words

Laguerre polynomial/mathematical methods of physics/quantum mechanics probability density/computer graphics

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出版年

2024
嘉应学院学报
嘉应学院

嘉应学院学报

CHSSCD
影响因子:0.25
ISSN:1006-642X
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