Approximate bound states of the Dirac equation with some physical quantum potentials

The approximate analytical solutions of the Dirac equations with the reflectionless-type and Rosen–Morse potentials including the spin–orbit centrifugal (pseudo-centrifugal) term are obtained. Under the conditions of spin and pseudospin (pspin) symmetry concept, we obtain the bound state energy spectra and the corresponding two-component upper- and lower-spinors of the two Dirac particles by means of the Nikiforov–Uvarov (NU) method in closed form. The special cases of the s  -wave κ=±1(l=l∼=0) Dirac equation and the non-relativistic limit of Dirac equation are briefly studied.