Approximate analytical solutions of the pseudospin symmetric Dirac equation for exponential-type potentials

作者：Arda Altu; Sever Ramazan^*; Tezcan Cevdet

来源：Annalen der Physik, 2009, 18(10-11): 736-746.

DOI：10.1002/andp.200810368

• Pseudospin symmetry
• Morse potential
• Hulthen potential
• q-deformed Rosen-Morse potential
• Dirac equation
• Nikiforov-Uvarov method

The solvability of The Dirac equation is studied for the exponential-type potentials with the pseudospin symmetry by using the parametric generalization of the Nikiforov-Uvarov method. The energy eigenvalue equation, and the corresponding Dirac spinors for Morse, Hulthen, and q-deformed Rosen-Morse potentials are obtained within the framework of an approximation to the spin-orbit coupling term, so the solutions are given for any value of the spin-orbit quantum number kappa = 0, or kappa not equal 0.

• 出版日期2009-10