大学物理 ›› 2022, Vol. 41 ›› Issue (6): 78-.doi: 10.16854 /j.cnki.1000-0712.210548

• 大学生园地 • 上一篇    下一篇

基于蒙特卡罗模拟的三维氢原子电子云可视化

曹宇晗,吕恒鑫,熊天宇,卢紫萱,鄂依婷,徐磊,舒崧   

  1. 湖北大学物理与电子科学学院,湖北武汉 430062
  • 出版日期:2022-06-15 发布日期:2022-06-15
  • 通讯作者: 舒崧,E-mail:shus@ hubu.edu.cn
  • 作者简介:曹宇晗 ( 2000—),男,湖北武汉人,湖北大学物理与电子科学学院 2018级本科生.

Visualization of three-dimensional hydrogen atom electron cloud based on Monte Carlo simulation

CAO Yu-han,LU Heng-xin,XIONG Tian-yu,LU Zi-xuan,E Yi-ting,XU Lei,SHU Song   

  1. Faculty of Physics and Electronic Science,Hubei University,Wuhan,Hubei 430062,China
  • Online:2022-06-15 Published:2022-06-15

摘要: 本文具体讨论了使用蒙特卡罗模拟对氢原子三维 “电子云 ”进行可视化的方法.根据氢原子中电子的波函数,利用 Mathematica软件和蒙特卡罗模拟方法,实现了不同能级的氢原子三维电子云的可视化,使人们对氢原子中电子的行为有更加直观的认识.同时本文也给出了基于蒙特卡罗方法的研究一般原子系统,包括有微扰系统的电子云图像的普适算法,可用于量子力学可视化课程资源的进一步开发.

关键词: 氢原子电子云, 蒙特卡罗模拟, 可视化

Abstract: This paper introduces a method to visualize the three-dimensional “electron cloud”of hydrogen atom by Monte Carlosimulation. According to the wave function of the electron in hydrogen atom,the visualization of three-dimensional electron cloud of hydrogen atom with different energy levels is realized by using Mathematica software and Monte Carlo simulation method,which makes people have a more intuitive understanding of the behav-ior of the electron in hydrogenatom. At the same time,this paper also gives a universal algorithm based on Monte Carlo method to study the electron cloud image of the general atomic system,including the perturbation system, which can be used for the further development of the visualization resources for the courses of quantum mechanics.

Key words: hydrogen atom electron cloud, Monte Carlo simulation, visualization