(1) Physics Department, King Fahd University of Petroleum & Minerals, Dhahran, 31261, Saudi Arabia
Abstract:
No Heading We study the Dirac equation in 3+1 dimensions with non-minimal coupling to an isotropic radial three-vector potential and
in the presence of a static electromagnetic potential. The space component of the electromagnetic potential has angular (non-central)
dependence such that the Dirac equation separates completely in spherical coordinates. We obtain solutions for the case where
the three-vector potential is linear in the radial coordinate (Dirac oscillator) and the time component of the electro-magnetic
potential vanishes. The relativistic energy spectrum and spinor eigenfunctions are obtained.