  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.
