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

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.

10 pages

References in corpus (4)

• Energy Spectrum of a 2D Dirac Oscillator in the Presence of the Aharonov-Bohm Effect
• Scattering and bound states for a class of non-central potentials
• Systematic and intuitive approach for separation of variables in the Dirac equation for a class of noncentral electromagnetic potentials
• Solution of the Dirac equation by separation of variables in spherical coordinates for a class of three-parameter non-central electromagnetic potential

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• Solution of the Dirac equation with non-minimal coupling to noncentral three-vector potential
• Quantum motion in superposition of Aharonov-Bohm with some additional electromagnetic fields