Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method

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Egrifes H., Sever R.

PHYSICS LETTERS A, vol.344, pp.117-126, 2005 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 344
  • Publication Date: 2005
  • Doi Number: 10.1016/j.physleta.2005.06.061
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.117-126
  • Keywords: Dirac equation, non-Hermitian Hamiltonians, PT-symmetry, pseudo-hermiticity, Hulthen potential, bound-states, exact solutions, NON-HERMITIAN HAMILTONIANS, KLEIN-GORDON EQUATION, QUANTUM-MECHANICS, PSEUDO-HERMITICITY, REAL SPECTRUM, PERTURBATION-THEORY, CUBIC OSCILLATOR, COMPLEX, EIGENVALUES, VECTOR
  • Open Archive Collection: AVESIS Open Access Collection
  • Middle East Technical University Affiliated: No

Abstract

The one-dimensional Dirac equation is solved for the PT-symmetric generalized Hulthen potential. The Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type is used to obtain exact energy eigenvalues and corresponding eigenfunctions. (c) 2005 Elsevier B.V. All rights reserved.