Covariance, CPT and the Foldy-Wouthuysen transformation for the Dirac oscillator

Abstract

The covariance properties and the Foldy-Wouthuysen and Cini-Touschek transformations for the recently proposed Dirac oscillator are found. The charge conjugation, parity and time reversal properties are established. A physical picture as an interaction of an anomalous (chromo) magnetic dipole with a specific (chromo) electric field emerges for this system. This interaction suggests an alternative confinement potential for heavy quarks in QCD.