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arxiv: 1307.8311 · v1 · pith:UWQI6KDAnew · submitted 2013-07-31 · 🪐 quant-ph

Relativistic symmetries in Rosen-Morse potential and tensor interaction using the Nikiforov-Uvarov method

classification 🪐 quant-ph
keywords interactionmethodnikiforov-uvarovp-spinpotentialspinspin-orbitsymmetries
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Approximate analytical bound-state solutions of the Dirac particle in the field of both attractive and repulsive RM potentials including Coulomb-like tensor (CLT) potential are obtained for arbitrary spin-orbit quantum number The Pekeris approximation is used to deal with the spin-orbit coupling terms In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov-Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between spin and p-spin state doublets.

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