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Weyl–Dirac Equation in Fractional-Dimensional Space: Graphene

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Abstract

In this paper, we have treated exact analytical the two-dimensional massless Dirac–Weyl equation under the effect of a uniform electromagnetic field within a fractional-dimensional space, in which the momentum and position operators satisfying the R-deformed Heisenberg algebras. The expressions of the energy eigenvalues and the corresponding eigenfunctions are exactly calculated. The graphene free case is also exposed.

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Authors and Affiliations

  1. Laboratory of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University-Tebessa, Algeria, Tebessa, 12000, Algeria

    Hadjer Merad

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  1. Hadjer Merad
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Correspondence to Hadjer Merad.

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Merad, H. Weyl–Dirac Equation in Fractional-Dimensional Space: Graphene. Few-Body Syst 63, 66 (2022). https://doi.org/10.1007/s00601-022-01771-z

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