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Analytical approximations to the l-wave solutions of the Klein–Gordon equation with position-dependent mass for mixed vector and scalar Hulthén-type potentials by using SUSYQM approach

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Abstract

In this paper, we investigate the approximate bound states solutions of Klein–Gordon equation with position-dependent mass for scalar and vector central Hulthén-type potentials by applying an approximation scheme to deal with the centrifugal potential for any l-states. The supersymmetric quantum mechanics (SUSYQM) and shape invariance approaches are used in the calculations. We obtain straightforwardly the relativistic energies and their corresponding normalized wavefunctions, expressed in terms of Jacobi polynomials. Special cases of interest of this problem are also deduced and it is found that our results are in good agreement with those obtained in the literature.

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Acknowledgements

The authors would like to thank the Algerian government for the financial assistance allocated within the framework of PRFU Project under the code B00L02UN250120180018.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences Exactes, Université Frères Mentouri Constantine 1, Route d’Ain El-Bey, 25000, Constantine, Algeria

    N. Zaghou, F. Benamira & L. Guechi

  2. Département des Sciences de la Matière, Faculté des Sciences, Université de Médéa, Pôle Urbain, 26000, Médéa, Algeria

    N. Zaghou

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  1. N. Zaghou
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  2. F. Benamira
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  3. L. Guechi
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Correspondence to N. Zaghou.

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Zaghou, N., Benamira, F. & Guechi, L. Analytical approximations to the l-wave solutions of the Klein–Gordon equation with position-dependent mass for mixed vector and scalar Hulthén-type potentials by using SUSYQM approach. Indian J Phys 96, 1105–1116 (2022). https://doi.org/10.1007/s12648-021-02068-3

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  • DOI: https://doi.org/10.1007/s12648-021-02068-3

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