Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential

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2010-03-15
IKHDAİR, SAMEER
Sever, Ramazan
We study the effect of spatially-dependent mass function over the solution of the Dirac equation with the Coulomb potential in the (3 + 1)-dimensions for any arbitrary spin-orbit kappa state. In the framework of the spin and pseudospin symmetry concept, the analytic bound state energy eigenvalues and the corresponding upper and lower two-component spinors of the two Dirac particles are obtained by means of the Nikiforov-Uvarov method, in closed form. This physical choice of the mass function leads to an exact analytical solution for the pseudospin part of the Dirac equation. The special cases kappa = +/- 1(l = (l) over bar = 0; i.e., s-wave), the constant mass and the non-relativistic limits are briefly investigated.

Citation Formats
S. IKHDAİR and R. Sever, “Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential,” APPLIED MATHEMATICS AND COMPUTATION, vol. 216, no. 2, pp. 545–555, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62615.