  We have presented an elegant high energy quantum problem, namely, the full
Dirac oscillator under axial magnetic field with its full solution. We have
found the energy spectrum which is rich and at the same time has a novel
structure. The quantized energy levels show coupling of the oscillator
frequency with the Larmor frequency in the 2D surface where the electrons under
consideration follow a 2D oscillator. The axis in which magnetic field is
pointed, the electrons follow a 1D oscillator. There is also coupling between
spin and orbital motion and also a coupling between a resultant effect of
orbital and spin motion with Larmor precession.
