English

Pseudospin and Spin Symmetric Solutions of Dirac Equation: Hellmann Potential, Wei Hua Potential, Varshni Potential

Mathematical Physics 2015-06-19 v1 math.MP Quantum Physics

Abstract

Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, Wei Hua potential and Varshni potential with any κ\kappa-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs (n,κn, \kappa).

Keywords

Cite

@article{arxiv.1403.6936,
  title  = {Pseudospin and Spin Symmetric Solutions of Dirac Equation: Hellmann Potential, Wei Hua Potential, Varshni Potential},
  author = {Altug Arda and Ramazan Sever},
  journal= {arXiv preprint arXiv:1403.6936},
  year   = {2015}
}

Comments

10 pages, 3 figures. arXiv admin note: text overlap with arXiv:1211.6846