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The generalized Klein–Gordon oscillator in a cosmic space-time with a space-like dislocation and the Aharonov–Bohm effect

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Abstract

In the present work, we investigated the quantum behavior of a charged particle that is under the effect of a uniform magnetic external field. We assumed that space-time has a space-like dislocation with an internal magnetic flux. We examined two different types of potential energies that are known as the pseudoharmonic and Cornell-type potential energies, with the nonminimal coupling. We observed the Aharonov–Bohm effect in both cases. We extended the analysis on the energy spectrum functions to the different limits.

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Acknowledgements

The authors thank the referee for a thorough reading of our manuscript and for constructive suggestion. This work is supported by the Internal Project, [2020/2209], of Excellent Research of the Faculty of Science of University Hradec Králové. One of the author, B.C. Lütfüoğlu, was partially supported by the Turkish Science and Research Council (TÜBİTAK).

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Authors and Affiliations

  1. Department of Physics, Akdeniz University, Campus 07058, Antalya, Turkey

    B. C. Lütfüoğlu

  2. Department of Physics, University of Hradec Králové, Rokitanského 62, 500 03, Hradec Králové, Czechia

    B. C. Lütfüoğlu, J. Kříž & H. Hassanabadi

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

    P. Sedaghatnia & H. Hassanabadi

Authors
  1. B. C. Lütfüoğlu
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  2. J. Kříž
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  3. P. Sedaghatnia
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  4. H. Hassanabadi
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Corresponding author

Correspondence to B. C. Lütfüoğlu.

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Lütfüoğlu, B.C., Kříž, J., Sedaghatnia, P. et al. The generalized Klein–Gordon oscillator in a cosmic space-time with a space-like dislocation and the Aharonov–Bohm effect. Eur. Phys. J. Plus 135, 691 (2020). https://doi.org/10.1140/epjp/s13360-020-00721-0

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