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

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.

preprint2016arXivOpen access
Huseyin AkcayRamazan Sever
quant-ph
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Open access2 authors1 topic
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Huseyin AkcayRamazan Sever

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