Approach to the shifted [formula omitted] espansion for spin- [formula omitted] relativistic particle

Abstract

A different approach to the shifted 1/ N expansion method is develop to deal with the Dirac particle trapped in a spherically symmetric potential. The main aspects of our approach are to expand the energy term in a perturbative form and the detemine the parameters involved without any approximation. While the formalism os developed for spin-1/2 particles in any spherically potential, it is applied to the Coulomb case for testing. The calculations are carried out to the third-order correction of the energy eigenvalue series.