| 有限差分法解薛定谔方程及其应用 |
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| 引用本文： | 朱萧霄,崔艳波,丁鑫,金嘉凡,史友进. 有限差分法解薛定谔方程及其应用[J]. 常州工学院学报, 2014, 27(4): 37-41 |
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| 作者姓名： | 朱萧霄 崔艳波 丁鑫 金嘉凡 史友进 |
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| 作者单位： | 1. 盐城工学院土木工程学院,江苏盐城,224051
2. 盐城工学院基础教学部,江苏盐城,224051 |
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| 基金项目： | 2014年江苏省大学生创新创业训练计划 |
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| 摘 要： | 用有限差分法解薛定谔方程将连续的量子力学本征值问题转化为离散的本征值问题,在Matlab编程环境下易于实现。文章以一维无限深势阱问题检验有限差分法解薛定谔方程,以有势垒的一维无限深势阱问题探究势垒的围栏效应。模拟研究清洁铜表面48个铁原子构成的圆形量子围栏电子态密度,观察到量子围栏对电子态的吸收效应。
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| 关 键 词： | 有限差分法 薛定谔方程 无限深势阱 量子围栏 |
Finite Difference Method for Solving the Schrodinger Equation and Its Application |
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| ZHU Xiaoxiao,CUI Yanbo,DING Xin,JIN Jiafan,SHI Youjin. Finite Difference Method for Solving the Schrodinger Equation and Its Application[J]. Journal of Changzhou Institute of Technology, 2014, 27(4): 37-41 |
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| Authors: | ZHU Xiaoxiao CUI Yanbo DING Xin JIN Jiafan SHI Youjin |
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| Affiliation: | ZHU Xiaoxiao, CUI Yanbo ,DING Xin ,JIN Jiafan ,SHI Youjin ( 1. School of Civil Engineering, Yancheng Institute of Technology, Yancheng 224051 2. Department of Basic Science, Yancheng Institute of Technology, Yancheng 224051 ) |
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| Abstract: | The continuous eigenvalue problem of quantum mechanics can be converted into the discrete eigenvalue problem by using finite difference method,and it is very easy to achieve a target by Matlab software. In this paper,the finite difference method for solving the schrdinger equation can be tested with the problem of one dimensional infinite deep potential well,and the fence effect of potential barrier will be explored by one dimensional infinite deep potential well with potential barrier. The density of electronic states of circular quantum corral which is composed of 48 Fe adatoms positioned into a circular ring on the clean Cu surface is simulated and studied,and the sink effect of electronic states under the action of quantum corral is observed. |
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| Keywords: | finite difference method schrdinger equation infinite deep potential well quantum corral |
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