有限深多势阱中电子能态的数值研究  

Numerical study of electronic states in finite multiple potential wells

作　　者：江俊勤[1] 沈华嘉[1] 

机构地区：[1]广东第二师范学院物理系,广东广州510303

出　　处：《大学物理》2016年第11期13-17,共5页College Physics

基　　金：广东省高等学校物理专业综合改革试点项目资助

摘　　要：研究处于N个有限深对称势阱中的电子态.从薛定谔方程出发,在N=1、2、3和4的情况下,用Mathematica数值求解由标准条件决定的线性方程组,精确计算出电子的能级和波函数.直观地展示电子能级分裂成能带的机理.The electronic states in the symmetric N- potential wells are studied. Based on the Schrdinger equation,the linear equations determined by the standard conditions in the case of N = 1,2,3 and 4 are solved,the energy level and wave function are accurately calculated by using Mathematica. The mechanism of the energy level splitting into energy band is exhibited.

关 键 词：数值分析 有限深多势阱 定态薛定谔方程 能级和波函数 能带 

分 类 号：O413.1[理学—理论物理]