On the Spectrum of a Discrete Non-Hermitian Quantum System

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Ergun E.

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, vol.5, 2009 (SCI-Expanded) identifier identifier

  • 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
  • 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.