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Research Articles

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

Authors:

Osarodion Ebomwonyi,

University of Benin, NG
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Atachegbe Clement Onate ,

Landmark University, NG
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Michael C. Onyeaju,

University of Port Harcourt, NG
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Joshua Okoro,

Landmrk University, NG
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Matthew Oluwayemi

Landmrk University, NG
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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.
How to Cite: Ebomwonyi, O., Onate, A.C., Onyeaju, M.C., Okoro, J. and Oluwayemi, M., 2018. Approximate Analytical Solutions of the Effective Mass Klein-Gordon Equation for Two Interacting Potentials. Sri Lankan Journal of Physics, 19(1), pp.1–15. DOI: http://doi.org/10.4038/sljp.v19i1.8042
Published on 15 Feb 2018.
Peer Reviewed

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