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Approximate Pseudospin and Spin Solutions of the Dirac Equation for a Class of Exponential Potentials

Mathematical Physics 2010-03-05 v1 math.MP Quantum Physics

Abstract

Dirac equation is solved for some exponential potentials, hypergeometric-type potential, generalized Morse potential and Poschl-Teller potential with any spin-orbit quantum number κ\kappa in the case of spin and pseudospin symmetry, respectively. We have approximated for non s-waves the centrifugal term by an exponential form. The energy eigenvalue equations, and the corresponding wave functions are obtained by using the generalization of the Nikiforov-Uvarov method.

Keywords

Cite

@article{arxiv.0909.2086,
  title  = {Approximate Pseudospin and Spin Solutions of the Dirac Equation for a Class of Exponential Potentials},
  author = {Altug Arda and Ramazan Sever and Cevdet Tezcan},
  journal= {arXiv preprint arXiv:0909.2086},
  year   = {2010}
}

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14 pages