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

Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, Wei Hua potential and Varshni potential with any $κ$-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 ($n, κ$).

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