无限深势阱问题的可视化研究  

Visualization analysis of infinite potential wells

作　　者：肖光延 陈凤翔 汪礼胜 XIAO Guang-yan;CHEN Feng-xiang;WANG Li-sheng(Department of Physics Science and Technology,Wuhan University of Technology,Wuhan,Hubei 430070,China)

机构地区：[1]武汉理工大学理学院物理科学与技术系,湖北武汉430070

出　　处：《大学物理》2021年第2期75-79,85,共6页College Physics

基　　金：武汉理工大学教学研究项目(w2016002);武汉理工大学2018年第二批产学合作协同育人项目(201802040036)资助。

摘　　要：基于计算软件对一些常见的无限深势阱进行了可视化研究,并设计了GUI界面实现对势阱的选择.在选定势阱后,设置好相应的势阱参数和量子数,便可依次绘制出低维势阱的波函数、概率密度函数和三维势阱中的电子云图像.文中分析了二维和三维势阱中能级的简并度问题,并重点讨论了不同势阱波函数和概率密度函数随量子数的变化规律.将势阱问题可视化可以方便分析不同条件下波函数的物理图像,有助于量子力学课程中的教师教学与学生学习.With a computation software,many common in finite potential wells are visualized,and a corresponding GUI interface is designed to select different potential wells.After a potential well is selected and the corresponding potential well parameters and quantum numbers are set,the wave function,probability density function of low dimensional potential well and the electron cloud images of the three-dimensional potential well can be drawn successively.In addition,the degeneracy of energy levels in two-and three-dimensional wells are analyzed,then the variations of different well wave functions and probability density functions with quantum numbers are discussed.This can facilitate the analysis of the wave function images under different conditions and is helpful for the teaching and studying in Quantum Mechanics courses.

关 键 词：无限深势阱 波函数 电子云 可视化 

分 类 号：O4-39[理学—物理]