Solutions of The Spatially-Dependent Mass Dirac Equation with the Spin and Pseudospin Symmetry for the Coulomb-Like Potential
- Publication Type
- Original research
- Authors
- Sameer M. Ikhdair
- Ramazan Sever
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.
Journal
- Title
- Applied Mathematics and Computation, 216, 545–555
- Publisher
- --
- Publisher Country
- Palestine
- Publication Type
- Both (Printed and Online)
- Volume
- --
- Year
- 2010
- Pages
- --