Approximate Analytical Solutions of the Effective Mass Klein-Gordon Equation for Two Interacting Potentials
By: Osarodion Ebomwonyi, Atachegbe Clement Onate, Michael C. Onyeaju, Joshua Okoro and Matthew Oluwayemi
Open Access
|Feb 2018Abstract
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.
DOI: https://doi.org/10.4038/sljp.v19i1.8042 | Journal eISSN: 2478-1193
Language: English
Page range: 1 - 15
Published on: Feb 15, 2018
Published by: Institute of Physics, Sri Lanka
In partnership with: Paradigm Publishing Services
© 2018 Osarodion Ebomwonyi, Atachegbe Clement Onate, Michael C. Onyeaju, Joshua Okoro, Matthew Oluwayemi, published by Institute of Physics, Sri Lanka
This work is licensed under the Creative Commons License.