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Relativistic particles in electromagnetic field with confining scalar potential in doubly special relativity

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Abstract

The present research paper attempts to study the relativistic Klein–Gordon and Dirac equations which are subjected to the action of a uniform electromagnetic field which is added to a confining scalar potential within the context Magueijo–Smolin model and in momentum space. In both cases, the energy spectrum of the mentioned equations and their corresponding eigenfunctions are obtained. The limiting cases are then deduced for a small parameter of deformation; in addition to that, a numerical study of the energy is presented.

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Authors and Affiliations

  1. Faculté des sciences exactes, Université de Oum El Bouaghi, 04000, Oum El Bouaghi, Algeria

    D. Seffai & M. Merad

  2. Département of Material Science, Faculty of Science, University of Amar Telidji, BP 37G, 03000, Laghouat, Algeria

    D. Seffai

  3. Département de TC de SNV, Université Hassiba Benbouali, Chlef, Algeria

    B. Hamil

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  1. D. Seffai
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  2. M. Merad
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  3. B. Hamil
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Correspondence to M. Merad.

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Seffai, D., Merad, M. & Hamil, B. Relativistic particles in electromagnetic field with confining scalar potential in doubly special relativity. Indian J Phys 96, 2211–2219 (2022). https://doi.org/10.1007/s12648-022-02345-9

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