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The three-dimensional Dirac-Oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials

A. D. Alhaidari
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Abstract

We study the Dirac equation in 3+1 dimensions with non-minimal coupling to isotropic radial three-vector potential and in the presence of static electromagnetic potential. The space component of the electromagnetic potential has angular (non-central) dependence such that the Dirac equation is completely separable in spherical coordinates. We obtain exact solutions for the case where the three-vector potential is linear in the radial coordinate (Dirac-Oscillator) and the time component of the electromagnetic potential vanishes. The relativistic energy spectrum and spinor eigenfunctions are obtained.

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A. D. Alhaidari. 2005-01-06. The three-dimensional Dirac-Oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials. https://doi.org/10.1007/s10702-005-1318-x

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