Sylvester theorem and the multichannel transfer matrix method for arbitrary transverse potential profile inside a wave guide

被引：10

作者：

Anzaldo-Meneses, A.

Pereyra, P.

机构：

[1] UAM Azcapotzalco, Mexico City 02200, DF, Mexico

[2] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy

来源：

ANNALS OF PHYSICS | 2007年 / 322卷 / 09期

关键词：

functions of matrix variables; spectral decomposition; multichannel transfer matrix method; potential with arbitrary tranverse profile inside a wave guide;

D O I：

10.1016/j.aop.2006.10.006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the Sylvester and Frobenius theorems, we drastically enhance the feasibility of the transfer-matrix approach to deal with problems involving a large number of propagating and interfering modes, which require the solution of coupled differential equations and the evaluation of functions of matrix variables. We report closed formulas for the spectral decomposition of this type of functions. As specific example, besides the calculation of simple and well-known I D one channel transfer matrices, we derive the multi-channel transfer matrix for an electron gas in the presence of a transverse electric field. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：2114 / 2128

页数：15

共 32 条

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