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Solution of the Dirac equation for pseudoharmonic potential by using the Nikiforov-Uvarov method. (English) Zbl 1170.81348

Summary: We investigate the energy spectra and corresponding wave functions of the Dirac equation for pseudoharmonic potential with spin and pseudospin symmetry. To obtain an analytical solution of the Dirac equation, we consider the Nikiforov-Uvarov method in the calculations. For any spin-orbit coupling term \(\kappa \), we find the closed forms of the energy eigenvalues and also obtain the radial wave functions in the spin and pseudospin symmetry limits.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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