EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC-KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH


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Arda A., Sever R.

MODERN PHYSICS LETTERS A, vol.27, no.30, 2012 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 30
  • Publication Date: 2012
  • Doi Number: 10.1142/s0217732312501714
  • Journal Name: MODERN PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Keywords: Exact solution, analytical solution, Laplace transform, Kratzer potential, Dirac equation, bound state, VECTOR POTENTIALS, EQUATION, SPECTRUM, SCALAR

Abstract

Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different parameter values.