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Spinless Relativistic Particle in the Presence of Minimal Uncertainty in the Momentum

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Abstract

In this letter, we present the exact solution of the three-dimensional Klein–Gordon oscillator on the (anti)-de Sitter spaces, the energy spectrum and the associated wave functions are extracted and the wave functions are expressed according to the Jacobi polynomial. On the other hand, we have investigated the three-dimensional the Klein–Gordon equation with a Coulomb plus scalar potential, we use the perturbation theory to calculate corrections to the spectrum in this framework of the extended uncertainty principle.

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Acknowledgements

We wish to thank the referees for their useful comments which greatly improved the manuscript.

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Authors and Affiliations

  1. PRIMALAB, Département de Physique, Faculté des Sciences de la matière, Université de Batna 1, 05000, Batna, Algeria

    Asma Merad

  2. LPEA, Département de Physique, Faculté des Sciences de la Matière, Université de Batna 1, Batna, Algeria

    Mekki Aouachria

  3. Département des sciences de la matière, Faculté des Sciences Exactes, Université de Oum El Bouaghi, 04000, Oum El Bouaghi, Algeria

    Mahmoud Merad

Authors
  1. Asma Merad
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  2. Mekki Aouachria
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  3. Mahmoud Merad
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Correspondence to Mahmoud Merad.

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Merad, A., Aouachria, M. & Merad, M. Spinless Relativistic Particle in the Presence of Minimal Uncertainty in the Momentum. Few-Body Syst 61, 5 (2020). https://doi.org/10.1007/s00601-019-1540-x

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