Equivalence between the Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field: movement in a (2 + 1)-dimensional world

Abstract

It is shown that the Dirac oscillator in a (2+1)-dimensional spacetime can be interpreted as a spin-1/2 fermion embedded in a transverse homogeneous magnetic field.

Keywords:
Dirac oscillator; relativistic planar motion; transverse homogeneous magnetic field