Approximate Analytical Solutions of the Pseudospin Symmetric Dirac Equation for Exponential-type Potentials

Details Approximate Analytical Solutions of the Pseudospin Symmetric Dirac Equation for Exponential-type Potentials Approximate Analytical Solutions of the Pseudospin Symmetric Dirac Equation for Exponential-type Potentials

2009-09-04

arxiv.org/abs/0909.0821v1

Ann. Phys.(Berlin) 18, 736(2009)

Physics

Quantum Physics

16 pages

Scientific paper

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 $\kappa \neq 0$.

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