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Exact Solutions of the Klein–Gordon Equation with Hylleraas Potential

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Abstract

We present the exact solution of the Klein–Gordon with Hylleraas Potential using the Nikiforov–Uvarov method. We obtain explicitly the bound state energy eigenvalues and the corresponding eigen function for s-wave. The wave functions obtained are expressed in terms of Jacobi polynomials.

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Authors and Affiliations

  1. Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria

    Akpan N. Ikot & Oladunjoye A. Awoga

  2. Quantum Chemistry Group, Department of Chemistry, University of Calabar, Calabar, Nigeria

    Benedict I. Ita

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  1. Akpan N. Ikot
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  2. Oladunjoye A. Awoga
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  3. Benedict I. Ita
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Correspondence to Akpan N. Ikot.

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Ikot, A.N., Awoga, O.A. & Ita, B.I. Exact Solutions of the Klein–Gordon Equation with Hylleraas Potential. Few-Body Syst 53, 539–548 (2012). https://doi.org/10.1007/s00601-012-0434-y

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  • DOI: https://doi.org/10.1007/s00601-012-0434-y

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