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 (SCI-Expanded) 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 (SCI-EXPANDED), Scopus
  • Keywords: Exact solution, analytical solution, Laplace transform, Kratzer potential, Dirac equation, bound state, VECTOR POTENTIALS, EQUATION, SPECTRUM, SCALAR
  • Middle East Technical University Affiliated: Yes

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.