Approximate Analytical Solutions of the Effective Mass Klein-Gordon Equation for Two Interacting Potentials.

Ebomwonyi, O and Onate, C.A and Onyeaju, M.C. and Okoro, J.O and Oluwayemi, M. O. (2018) Approximate Analytical Solutions of the Effective Mass Klein-Gordon Equation for Two Interacting Potentials. Sri Lankan Journal of Physics,, 19. pp. 1-15.

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Abstract

In this study, the approximate analytical solutions of the relativistic Klein-Gordon equation in the spatial dimensions with unequal Coulomb-inverse Trigonometry scarf scalar and vector potentials for an effective mass function is investigated in the framework of supersymmetric and shape invariance method by employing a suitable approximation scheme to the centrifugal term. The energy equation for some special cases such as the Coulomb potential and inverse Trigonometry scarf potential are obtained. Using a certain transformation, the non-relativistic energy equation is obtained which is identical to the energy equation of the Hellmann potential.

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