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传递矩阵方法与矩形势垒的量子隧穿
引用本文:张红梅,刘德. 传递矩阵方法与矩形势垒的量子隧穿[J]. 河北科技大学学报, 2006, 27(3): 196-199,213
作者姓名:张红梅  刘德
作者单位:河北科技大学理学院,河北石家庄,050054;河北师范大学物理科学与信息工程学院,河北石家庄,050016
摘    要:利用传递矩阵方法精确计算了一维定态薛定谔方程,求解出电子穿过矩形势垒的透射系数,进一步研究了该透射系数与有效质量和矩形势垒参数的关系。数值计算结果表明,有效质量和矩形势垒参数对透射系数的影响同等重要。

关 键 词:量子隧穿  矩形势垒  传递矩阵方法  透射系数
文章编号:1008-1542(2006)03-0196-04
收稿时间:2006-02-21
修稿时间:2006-02-21

Transfer matrix method in the study of quantum transmission for rectangular barrier
ZHANG Hong-mei and LIU De. Transfer matrix method in the study of quantum transmission for rectangular barrier[J]. Journal of Hebei University of Science and Technology, 2006, 27(3): 196-199,213
Authors:ZHANG Hong-mei and LIU De
Affiliation:College of Sciences, Hebei University of Science and Technology,Shijiazhuang Hebei 050054,China;College of Physics and Information Engineering, Hebei Normal University, Shijiazhuang Hebei 050016,China
Abstract:Transmission coefficient of electron tunneling through rectangular barrier has been calculated based on the exact solution of the one-dimensional time-independent Schrdinger equation with the transfer matrix method;furthermore,the dependence of the transmission coefficient on the effective masses and parameters of rectangular barrier also has been studied.Numerical analysis shows that the effective masses cannot be ignored in comparison with parameters of rectangular barrier for the transmission coefficient.
Keywords:quantum transmission  rectangular barrier  the transfer matrix method  transmission coefficient
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