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1-D Dirac equation in the presence of the Mathieu potential

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Abstract

The Dirac equation in the presence of the scalar and vector potentials is considered. In the case of spin symmetry, the corresponding Schrödinger-like equation in the presence of Mathieu potential is solved. The energy eigenvalues and eigenfunctions are obtained by using Fourier grid method, numerically. The numerical results are in good approximation with the analytical results. Then, by using the same method, the relativistic energy eigenvalues and eigenspinors are calculated.

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Authors and Affiliations

  1. Department of Sciences, Farhangian University, Tehran, Iran

    Sohrab Aghaei

  2. Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran

    Alireza Chenaghlou & Niloofar Azadi

Authors
  1. Sohrab Aghaei
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  2. Alireza Chenaghlou
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  3. Niloofar Azadi
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Correspondence to Sohrab Aghaei.

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Aghaei, S., Chenaghlou, A. & Azadi, N. 1-D Dirac equation in the presence of the Mathieu potential. Eur. Phys. J. Plus 136, 749 (2021). https://doi.org/10.1140/epjp/s13360-021-01726-z

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