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

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

2005-01-06

arxiv.org/abs/hep-th/0501037v1

Found.Phys.Lett.18:651-664,2005

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1007/s10702-005-1318-x

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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