Numerical solution of the Schrobinger equation for an electron in a potential well of an arbitrary form

被引:2
|
作者
Komarov, D. A. [1 ]
Morev, S. P. [1 ]
Darmaev, A. N. [1 ]
Ryadnov, A. Yu [1 ]
机构
[1] Torii Sci & Mfg Firm, Moscow 117393, Russia
关键词
FIELD-EMISSION;
D O I
10.1134/S1064226914080117
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A numerical model is proposed for the solution of the Schrobinger equation. The model is based on the scattering matrix of the solution region. The scattering matrix is formed from matrices of partial regions of a simple shape. The density of the self-emission current for a metal/vacuum potential barrier of an arbitrary form is calculated. The results of test calculation of electron transmission through a rectangular potential barrier with a relative error less than 0.001% as compared to the analytical solution are presented.
引用
收藏
页码:843 / 846
页数:4
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