Tunnelling coefficients across an arbitrary potential barrier

被引：11

作者：

Zhang, AH ^{[1
]}

Cao, ZQ ^{[1
]}

Shen, QS ^{[1
]}

Dou, XM ^{[1
]}

Chen, YL ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Mol Photon Lab, Inst Opt & Photon, Shanghai 200240, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 30期

关键词：

D O I：

10.1088/0305-4470/33/30/313

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A simple, yet accurate, method of solving the Schrodinger equation across an arbitrary potential barrier is described. based on the analytic transfer-matrix technique, This paper gives the final analytical expression for the transmission probability. Numerical calculations for four typical potential barrier structures are compared with the traditional WKB, modified WKB and the modified Airy function (MAF) methods. Excellent agreement with an exact example is demonstrated. Most importantly, in cases where other potential-barrier methods fail, our method performs well.

引用

页码：5449 / 5456

页数：8

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