Relativistic and Non-relativistic Solutions of the Inversely Quadratic Yukawa Potential

Onate, C.A (2013) Relativistic and Non-relativistic Solutions of the Inversely Quadratic Yukawa Potential. African Review of Physics, 8 (0046). pp. 325-329.

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Abstract

Using the concept of supersymmetric quantum mechanics, we find the relativistic and non-relativistic solutions for the inversely quadratic Yukawa potential. We first find the Hamiltonian of the corresponding Schrödinger equation and then using shape invariance approach we obtain the bound state solutions for both Klein-Gordon and Schrödinger equations and their corresponding eigen-functions. We obtained the solutions of these equations for angular momentum 0 l ≠ by using Pekeris approximation to overcome the orbital centrifugal barrier.

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