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

نویسندگان

  • Sameer M. Ikhdair
  • Ramazan Sever
چکیده

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 upperand 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 = l̃ = 0) Dirac equation and the non-relativistic limit of Dirac equation are briefly studied.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 218  شماره 

صفحات  -

تاریخ انتشار 2012