On the Spectrum of a Discrete Non-Hermitian Quantum System

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.

Bibliographic Details
Main Author: Ebru Ergun
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.007