Approximate Eigen Solutions of D.K.P. and Klein-Gordon Equations with Hellmann Potential

Onate, C.A and Ojonubah, J.O and Adeoti, A and Eweh, J.E and Ugboja, M (2014) Approximate Eigen Solutions of D.K.P. and Klein-Gordon Equations with Hellmann Potential. African Review of Physics, 9 (006). pp. 497-504.

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Abstract

By using a suitable approximation scheme for orbital centrifugal term, we have studied the analytical solutions of both the D.K.P. equation and the Klein-Gordon equation with Hellmann potential in the framework of super-symmetric approach. In order to test the accuracy of our results, we obtained the non-relativistic limit of the energy equation for the Klein-Gordon equation with potential V . We also obtained the solution of the Schrödinger equation via the Formula method recently proposed by Falaye et al. We numerically obtained energy eigenvalues and compared our result with the results of other methods. The behavior of energy in the first, second and third state with the screening parameter are studied graphically.

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