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

作者：Ikhdair Sameer M; Sever Ramazan^*

来源：Applied Mathematics and Computation, 2012, 218(20): 10082-10093.

DOI：10.1016/j.amc.2012.03.073

• Dirac equation
• Spin and pseudospin symmetry
• Nikiforov-Uvarov method
• Approximation schemes

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 kappa = +/- 1(l = (l) over tilde = 0) Dirac equation and the nonrelativistic limit of Dirac equation are briefly studied.

• 出版日期2012-6-15