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

Novel energy level structure of Dirac oscillator in magnetic field