On the Spectrum of a Discrete Non-Hermitian Quantum System

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.

References in corpus (3)

• Scattering theory with localized non-Hermiticities
• Maximal couplings in PT-symmetric chain-models with the real spectrum of energies
• Pseudo-Hermitian Description of PT-Symmetric Systems Defined on a Complex Contour