ANALYTICAL SOLUTIONS OF THE KLEIN-FOCK-GORDON EQUATION WITH THE MANNING-ROSEN POTENTIAL PLUS A RING-SHAPED LIKE POTENTIAL

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Ahmadov A. I., Aydin C., UZUN Ö.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.29, no.1, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 1
  • Publication Date: 2014
  • Doi Number: 10.1142/s0217751x1450002x
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Nikiforov-Uvarov method, Manning-Rosen, ring-shaped potential, BOUND-STATES, DIRAC-EQUATION, RELATIVISTIC-PARTICLES, SIMILARITY TRANSFORMATION, HARMONIC-OSCILLATORS, SCHRODINGER-EQUATION, VECTOR POTENTIALS, CENTRIFUGAL TERM, SCALAR, SCHEME
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this work, on the condition that scalar potential is equal to vector potential, the bound state solutions of the Klein-Fock-Gordon equation of the Manning-Rosen plus ring-shaped like potential are obtained by Nikiforov-Uvarov method. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary l states. The conclusion also contain central Manning-Rosen, central and noncentral Hulthen potential.