On the eigenvalues of a 3 by 3 non-Hermitian Hamiltonian

被引：1

作者：

Ergun, Ebru ^{[1
]}

Bairamov, Elgiz ^{[2
]}

机构：

[1] Ankara Univ, Dept Phys, TR-06100 Ankara, Turkey

[2] Ankara Univ, Dept Math, TR-06100 Ankara, Turkey

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2011年 / 49卷 / 02期

关键词：

Discrete system; Non-Hermiticity; Jacobi matrix; Eigenvalue;

D O I：

10.1007/s10910-010-9767-2

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this paper, we are concerned with a 3 x 3 complex matrix Jacobi (tri-diagonal matrix) arised from a non-Hermitian discrete quantum system. Necessary and sufficient conditions for reality of the eigenvalues of the matrix in question are established.

引用

页码：609 / 617

页数：9

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