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Exact solutions of the generalized Klein–Gordon oscillator in a global monopole space-time

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Abstract

We obtain analytical solutions of the generalized Klein–Gordon relativistic quantum oscillator for spin-zero bosons in the presence of a non-central potential under the influence of a point-like global monopole space-time. The non-central potential consists of r- and \(\theta \)-dependent potentials \(S(r, \theta )\), and our generalized oscillator involves a function f(r), such that the radial part of \(S(r, \theta )\) is chosen as the Coulomb and harmonic oscillator potentials, and f(r) is selected as the Coulomb and linear functions, respectively. We analyze a \(\theta \)-dependent potential introduced by Berkdemir. Besides, we find exact analytical solutions of this generalized Klein–Gordon quantum oscillator in such background by means of the Nikiforiov–Uvarov method.

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Acknowledgements

The authors thank the reviewer for a thorough reading of our manuscript and constructive suggestions. M. de M. thanks the Natural Sciences and Engineering Research Council (NSERC) of Canada for partial financial support (grant number RGPIN-2016-04309).

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Authors and Affiliations

  1. Faculté Saint-Jean, University of Alberta, Edmonton, AB, T6C 4G9, Canada

    Marc de Montigny

  2. Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran

    Hassan Hassanabadi & Soroush Zare

  3. Physics Department, University of Alberta, Edmonton, AB, T6G 2E1, Canada

    James Pinfold

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  1. Marc de Montigny
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Correspondence to Marc de Montigny.

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Montigny, M.d., Hassanabadi, H., Pinfold, J. et al. Exact solutions of the generalized Klein–Gordon oscillator in a global monopole space-time. Eur. Phys. J. Plus 136, 788 (2021). https://doi.org/10.1140/epjp/s13360-021-01786-1

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