一维无序系统本征矢的解法

计算物理 ›› 1991, Vol. 8 ›› Issue (3): 295-304.

一维无序系统本征矢的解法

徐慧

中南工业大学物理系, 长沙 410083

收稿日期:1990-10-17 修回日期:1991-05-28 出版日期:1991-09-25 发布日期:1991-09-25

THE SOLUTION OF THE EIGENVECTORS IN ONE DIMENSIONAL DISORDERED SYSTEM

Xu Hui

Department of Physics, Central South University of Technology, Changsha 4100083

Received:1990-10-17 Revised:1991-05-28 Online:1991-09-25 Published:1991-09-25

摘要/Abstract

摘要： 本文提出了一种直接求解五对角厄米特矩阵本征矢的方法,即通过代数运算求出本征矢,而不是用三对角块矩阵来解。该方法对计算一维无序系统的本征矢特别适用。计算结果表明,此方法的存储量小,计算精度高,速度快,并可计算上十万个点阵的无序系统本征矢。

关键词: 无序系统, 五对角矩阵, 本征矢

Abstract: A method for solving directly the eigenvectors of a Hermitian five diagonal matrix is developed. It does not use a block tridiagonal matrix to solve. The results of calculation demonstrate that this method with high accuracy and low storage is very suitable to the disordered sys tem. It can be used to calculate high order matrix in order to meet the needs of disordered system.

Key words: disordered system, flve diagonal matrix, eigenvector

徐慧. 一维无序系统本征矢的解法[J]. 计算物理, 1991, 8(3): 295-304.

Xu Hui. THE SOLUTION OF THE EIGENVECTORS IN ONE DIMENSIONAL DISORDERED SYSTEM[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1991, 8(3): 295-304.

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