Approximate Bound States of the Dirac Equation with Some Physical Quantum Potentials
Publication Type
Original research
Authors
  • Sameer M. Ikhdair
  • Ramazan Sever

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 View the MathML source Dirac equation and the non-relativistic limit of Dirac equation are briefly studied.

Journal
Title
Volume 218, Issue 20 , Pages 10082–10093
Publisher
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Publisher Country
Palestine
Publication Type
Both (Printed and Online)
Volume
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Year
2012
Pages
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