Eigenvalue Problem, Spin Systems, Lie Groups, and Parameter Dependence

被引：0

作者：

Steeb, Willi-Hans ^{[1
]}

Hardy, Yorick ^{[2
]}

机构：

[1] Univ Johannesburg, Int Sch Sci Comp, ZA-2006 Auckland Pk, South Africa

[2] Univ S Africa, Dept Math Sci, Johannesburg, South Africa

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2015年 / 70卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Eigenvalue Problems; Lie Groups; Spin Systems; DIFFERENTIATION;

D O I：

10.1515/zna-2015-0139

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We study square matrices F(alpha) over C with alpha is an element of R, where the eigenvalues depend on the parameter alpha but not the eigenvectors, and vice versa, where the eigenvectors depend on the parameter alpha but not the eigenvalues. We derive sufficient conditions for such properties. Applications to Lie groups and spin systems are provided. Both normal and nonnormal matrices are investigated.

引用

页码：605 / 609

页数：5

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