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Pseudospin and Spin Symmetric Solutions of Dirac Equation: Hellmann Potential, Wei Hua Potential, Varshni Potential (1403.6936v1)
Published 27 Mar 2014 in math-ph, math.MP, and quant-ph
Abstract: 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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