Journal Title, Volume, Page:

Chin. Phys. B Vol. 22, No. 3, 030303
Year of Publication:

2013
Preferred Abstract (Original):

The spatially-dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials, including a tensor interaction under the spin and pseudospin symmetric limits. Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin—orbit quantum number κ. Some numerical results are also given, and the effect of tensor interaction on the bound states is presented. It is shown that tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under spin symmetric limit conditions in the absence of tensor interaction.

Journal Title, Volume, Page:

Applied Mathematics and Computation, 216, 545–555
Year of Publication:

2010
Preferred Abstract (Original):

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 *κ* 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 (*l*=*l*˜=0, i.e., s-wave), the constant mass and the non-relativistic limits are briefly investigated.