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math.SPSep 1, 2016
21
citations (OpenAlex)
authors
  • O. A. Veliev
institutions
  • Doğuş University
arXiv abstractPDF
paper

On the spectral properties of the Schrodinger operator with a periodic PT-symmetric potential

arXiv:1609.05786 · doi:10.1142/S0219887817500657

Abstract

In this paper we investigate the spectrum and spectrality of the one-dimensional Schrodinger operator with a periodic PT-symmetric complex-valued potential.

References in corpus (7)

  • Pseudo-Hermitian Representation of Quantum Mechanics
  • Complex periodic potentials with real band spectra
  • The energy spectrum of complex periodic potentials of the Kronig-Penney type
  • On the shape of spectra for non-self-adjoint periodic Schrödinger operators
  • The band spectrum of periodic potentials with PT-symmetry
  • Isospectral Mathieu-Hill Operators
  • Spectral Analysis of the Non-self-adjoint Mathieu-Hill Operator

Cited by in corpus (3)

  • The Spectrum of the Hamiltonian with a PT-symmetric Periodic Optical Potential
  • Spectral Analysis of the Schrodinger Operator with an Optical Potential
  • On the finite-zone periodic PT-symmetric potentials
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