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math-phJan 19, 2009
4
citations (OpenAlex)
authors
  • Ebru Ergun
institutions
  • Ankara University
arXiv abstractPDF
paper

On the Spectrum of a Discrete Non-Hermitian Quantum System

arXiv:0901.2916 · doi:10.3842/SIGMA.2009.007

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 (10)

  • Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
  • Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics
  • On the reality of the eigenvalues for a class of PT-symmetric oscillators
  • Conceptual Problems in Scattering from Localized non-Hermitian Potentials
  • Scattering theory with localized non-Hermiticities
  • Maximal couplings in PT-symmetric chain-models with the real spectrum of energies
  • Finite-Dimensional PT-Symmetric Hamiltonians
  • Matching method and exact solvability of discrete PT-symmetric square wells
  • How to Test for Diagonalizability: The Discretized PT-Invariant Square-Well Potential
  • Pseudo-Hermitian Description of PT-Symmetric Systems Defined on a Complex Contour

Cited by in corpus (1)

  • Non-Hermiticities even in quantum systems that are closed
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