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Energy spectrum of a 2D Dirac oscillator in the presence of a constant magnetic field and an antidot potential

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Abstract.

We investigate the energy spectrum and the corresponding eigenfunctions of a 2D Dirac oscillator confined by an antidot potential in the presence of a magnetic field and Aharonov-Bohm flux field. Analytical solutions are obtained and compared with the results of the Schrödinger equation found in the literature. Further, the dependence of the spectrum on the magnetic quantum number and on the repulsive potential is discussed.

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Authors and Affiliations

  1. Faculty of Engineering, Başkent University, Baglıca Campus, Ankara, Turkey

    Huseyin Akcay

  2. Department of Physics, Faculty of Arts and Sciences, Middle East Technical University, 06531, Ankara, Turkey

    Ramazan Sever

Authors
  1. Huseyin Akcay
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  2. Ramazan Sever
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Correspondence to Huseyin Akcay.

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Akcay, H., Sever, R. Energy spectrum of a 2D Dirac oscillator in the presence of a constant magnetic field and an antidot potential. Eur. Phys. J. Plus 131, 225 (2016). https://doi.org/10.1140/epjp/i2016-16225-1

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  • DOI: https://doi.org/10.1140/epjp/i2016-16225-1

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