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Scattering and Bound States of Klein–Gordon Particle with Hylleraas Potential Within Effective Mass Formalism

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Abstract

Scattering and bound states solution for the one-dimensional Klein–Gordon particle with Hylleraas potential is presented within the frame work of position dependent effective mass formalism. We calculate in detail the reflection and transmission coefficients using the properties of hypergeometric functions and the equation of continuity of the wave functions.

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Onyeaju, M.C., Ikot, A.N., Chukwuocha, E.O. et al. Scattering and Bound States of Klein–Gordon Particle with Hylleraas Potential Within Effective Mass Formalism. Few-Body Syst 57, 823–831 (2016). https://doi.org/10.1007/s00601-016-1122-0

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