二维无限深圆方势阱的定态几率分布  

The Steady Probability Distribution of Two-dimensional Spherical Well

作　　者：胡明飞[1] 杨艳[1] 赵硕浛[2] 

机构地区：[1]武汉大学物理科学与技术学院,武汉430072 [2]中国科学院大学武汉物理与数学研究所,武汉430071

出　　处：《科技通报》2016年第3期5-7,52,共4页Bulletin of Science and Technology

摘　　要：在平面极坐标系中,利用薛定谔方程求解二维无限深圆方势阱中的波函数。从而分析粒子在该势阱中的运动规律,最后运用Matlab作出前面几个本征态及其概率密度分布图。圆形的量子围栏就是一个二维无限深圆方势阱,表面态电子被完全束缚在这个势阱中。在这一理论模型基础之上用MATLAB对模型计算结果进行了模拟和讨论,较好地解释了量子围栏中的表面电子所展现出的波动现象。In polar coordinates, the Schrodinger equation is used for solving the wave function in the two-dimensional circular square potential well. To analyze the law of motion of the particle in the potential well,finally use Matlab to make the first few eigenstates and their probability density distribution. Circular quantum corral is a two-dimensional circular square potential well, the surface-state electrons are completely trapped in the potential well. On the basis of this theoretical model, use MATLAB simulate and discuss the calculated results, the better to explain the surface electrons in the quantum corral to show the wave phenomena.

关 键 词：量子围栏 无限深圆方势阱 MATLAB 

分 类 号：O413.1[理学—理论物理]