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Bound and Scattering State of Position Dependent Mass Klein–Gordon Equation with Hulthen Plus Deformed-Type Hyperbolic Potential

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Abstract

In this article we use supersymmetry quantum mechanics and factorization methods to study the bound and scattering state of Klein–Gordon equation with deformed Hulthen plus deformed hyperbolical potential for arbitrary state in D-dimensions. The analytic relativistic bound state eigenvalues and the scattering phase factor are found in closed form. We report on the numerical results for the bound state energy in D-dimensions.

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Authors and Affiliations

  1. Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, P.M.B 5323, Port Harcourt, Nigeria

    A. N. Ikot, H. P. Obong & T. M. Abbey

  2. Department of Basic Sciences, Islamic Azad University, North Tehran Branch, Tehran, Iran

    S. Zare & M. Ghafourian

  3. Physics Department, Shadrood University of Technology, Shahrood, Iran

    H. Hassanabadi

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  1. A. N. Ikot
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  2. H. P. Obong
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  3. T. M. Abbey
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  5. M. Ghafourian
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  6. H. Hassanabadi
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Correspondence to A. N. Ikot.

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Ikot, A.N., Obong, H.P., Abbey, T.M. et al. Bound and Scattering State of Position Dependent Mass Klein–Gordon Equation with Hulthen Plus Deformed-Type Hyperbolic Potential. Few-Body Syst 57, 807–822 (2016). https://doi.org/10.1007/s00601-016-1111-3

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