The Klein-Gordon and the Dirac oscillators in a non-commutative space and in a constant magnetic field

Abstract

In this paper the Klein-Gordon and the Dirac Oscillators in a non-commutative space and in a constant magnetic field are investigated. It is shown that for a specific value of the magnetic field, one may map these oscillators from a non-commutative space to a commutative space.

Keywords

• Dirac oscilator
• noncommutative space