Ebru Ergun, “On the Spectrum of a Discrete Non-Hermitian Quantum System”, SIGMA, 2009, Volume 5,007, 24 pp.

This article is cited in 3 papers

On the Spectrum of a Discrete Non-Hermitian Quantum System

Ebru Ergun

Department of Physics, Ankara University, 06100 Tandogan, Ankara, Turkey

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.

Keywords: difference operator; non-Hermiticity; spectrum; eigenvalue; eigenvector; completely continuous operator.

MSC: 39A70; 81Q10

Received: October 28, 2008; in final form January 13, 2009; Published online January 19, 2009

Language: English

DOI: 10.3842/SIGMA.2009.007