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Solution of Dirac Equation with Generalized Hylleraas Potential
Authors:Akpan NIkot
Institution:Theoretical Physics Group, Department of Physics, University of Uyo, Nigeria
Abstract:We employ the parametric generalization of the Nikiforov-Uvarov method to solve the Alhaidari formalism of the Dirac equation with a generalized Hylleraas potential of the form V(r)=V0(a+exp(λr))/(b+exp(λr))+V1(d+exp(λr))/(b+exp(λr)). We obtain the bound state energy eigenvalue and the corresponding eigenfunction expressed in terms of the Jacobi polynomials. By choosing appropriate parameter in the potential model, the generalized Hylleraas potential reduces to the well known potentials as special cases.
Keywords:Dirac equation  Alhaidari formalism  Nikiforov-Urarov method
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