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arxiv: 1403.6936 · v1 · pith:SKDN7SCMnew · submitted 2014-03-27 · 🧮 math-ph · math.MP· quant-ph

Pseudospin and Spin Symmetric Solutions of Dirac Equation: Hellmann Potential, Wei Hua Potential, Varshni Potential

classification 🧮 math-ph math.MPquant-ph
keywords potentialdiracequationenergyhellmannkappaobtainedpseudospin
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Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, Wei Hua potential and Varshni potential with any $\kappa$-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs ($n, \kappa$).

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