On the Spectrum of a Discrete Non-Hermitian Quantum System
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, vol.5, 2009 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 5
- Publication Date: 2009
- Doi Number: 10.3842/sigma.2009.007
- Journal Name: SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: difference operator, non-Hermiticity, spectrum, eigenvalue, eigenvector, completely continuous operator, HAMILTONIANS, REALITY
- Open Archive Collection: AVESIS Open Access Collection
- Ankara University Affiliated: No
Abstract
In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple conditions for discreteness of the spectrum are established.