Two Approximation Schemes to The Bound States of the Dirac–Hulthén Problem
- Publication Type
- Original research
- Authors
- Sameer M Ikhdair
- Ramazan Sever
The bound-state (energy spectrum and two-spinor wavefunctions) solutions of the Dirac equation with the Hulthén potential for all angular momenta based on the spin and pseudospin symmetry are obtained. The parametric generalization of the Nikiforov–Uvarov method is used in the calculations. The orbital dependence (spin–orbit- and pseudospin–orbit-dependent coupling too singular 1/r2) of the Dirac equation are included to the solution by introducing a more accurate approximation scheme to deal with the centrifugal (pseudo-centrifugal) term. The approximation is also made for the less singular 1/r orbital term in the Dirac equation for a wider energy spectrum. The nonrelativistic limits are also obtained on mapping of parameters.
Journal
- Title
- Journal of Physics A Mathematical and Theoretical, 44(35):355301
- Publisher
- --
- Publisher Country
- Palestine
- Publication Type
- Both (Printed and Online)
- Volume
- --
- Year
- 2011
- Pages
- --