Exact solution of the Klein-Gordon equation for the PT-symmetric generalized Woods-Saxon potential by the Nikiforov-Uvarov method


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Ikhdair S. M. , Sever R.

ANNALEN DER PHYSIK, vol.16, no.3, pp.218-232, 2007 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 3
  • Publication Date: 2007
  • Doi Number: 10.1002/andp.200610232
  • Journal Name: ANNALEN DER PHYSIK
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.218-232
  • Keywords: Klein-Gordon equation, energy eigenvalues and eigenfunctions, Woods-Saxon potential, PT-symmetry, Nikiforov-Uvarov method, LARGE-N-EXPANSION, B-C MESON, BOUND-STATES, PSEUDO-HERMITICITY, QUANTUM-MECHANICS, VECTOR, REAL, SCHRODINGER, ENERGY, SPECTROSCOPY

Abstract

The exact solution of the one-dimensional Klein-Gordon equation of the PT-symmetric generalized Woods-Saxon potential is obtained. The exact energy eigenvalues and wavefunctions are derived analytically by using the Nikiforov and Uvarov method. In addition, the positive and negative exact bound states of the s-states are also investigated for different types of complex generalized Woods-Saxon potentials. (C) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.