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\( \kappa\) -deformed Dirac equation in crossed magnetic and electric fields

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Abstract.

We obtain solutions of the \( (2+1)\) -dimensional \( \kappa\)-deformed Dirac equation in the presence of crossed magnetic and electric fields. It is shown that the \( \kappa\)-deformed Landau levels are modified in the presence of the electric field. Contraction of Landau levels has also been examined and it has been shown that the contraction depends on a critical magnetic field which is independent of the deformation parameter in first-order approximation.

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Authors and Affiliations

  1. Department of Mathematics, Vivekananda College, 700063, Kolkata, India

    D. Nath

  2. Physics & Applied Mathematics Unit, Indian Statistical Institute, 700108, Kolkata, India

    P. Roy

Authors
  1. D. Nath
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  2. P. Roy
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Correspondence to P. Roy.

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Nath, D., Roy, P. \( \kappa\) -deformed Dirac equation in crossed magnetic and electric fields. Eur. Phys. J. Plus 132, 416 (2017). https://doi.org/10.1140/epjp/i2017-11661-y

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  • DOI: https://doi.org/10.1140/epjp/i2017-11661-y

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