Analytical treatment of spin-1/2 particle subject to a combination of potentials

Abstract

By using the fundamental principles of supersymmetric quantum mechanics methodology and parametric Nikiforov-Uvarov method respectively, we obtained both the positive and negative (spin and pseudospin symmetries) energy equations of the Dirac equation with scalar and vector potentials. The nonrelativistic limit of the spin symmetry was obtained, and this was used to calculate Fisher information for both position space and momentum space respectively. The behaviour of eigenvalue energy with both the angular frequency and equilibrium bond length respectively were studied. Five special cases of the potential under consideration were also studied. Finally, we examined the feature of Fisher information with the angular frequency which was found to obey Heisenberg uncertainty principle.