Bound-state solutions of the Klein-Gordon equation for the generalized PT-symmetric Hulthen potential


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Egrifes H., Sever R.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.46, no.4, pp.935-950, 2007 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 4
  • Publication Date: 2007
  • Doi Number: 10.1007/s10773-006-9251-8
  • Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.935-950
  • Keywords: Klein-Gordon equation, non-Hermitian Hamiltonians, PT-symmetry, pseudo-Hermiticity, Hulthen potential, bound-states, exact solutions, NON-HERMITIAN HAMILTONIANS, SHIFTED 1/N EXPANSION, PSEUDO-HERMITICITY, DIRAC-EQUATION, SCHRODINGER-EQUATION, COULOMB POTENTIALS, SPINLESS PARTICLES, SCALAR, VECTOR, REAL

Abstract

The one-dimensional Klein-Gordon equation is solved for the PT-symmetric generalized Hulthen potential in the scalar coupling scheme. The relativistic bound-state energy spectrum and the corresponding wave functions are obtained by using the Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type.