Non-Abelian Extensions of the Dirac Oscillator: A Theoretical Approach

Abdelmalek Boumali, Sarra Garrah

We formulate the Dirac oscillator covariantly in the presence of external non-Abelian gauge fields. More precisely, the matter field is written as ${\Psi }_{\alpha A}(x)$, where $\alpha$ denotes th…