An analytical approach to the Klein-Gordon and the Dirac relativistic oscillators in a non-commutative space under a constant magnetic field

摘要

In this paper, we investigate the Klein-Gordon and the Dirac relativistic oscillators in a non-commutative space under a constant magnetic field. In addition, we show that, for a particular magnetic field, the form of these oscillators can be mapped from a non-commutative space to a commutative space.