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
收藏
页码：609 / 617
页数：9
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