Remarks on the Dirac oscillator in (2 + 1) dimensions

In this work the Dirac oscillator in dimensions is considered. We solve the problem in polar coordinates and discuss the dependence of the energy spectrum on the spin parameter s and angular-momentum quantum number m. Contrary to earlier attempts, we show that the degeneracy of the energy spectrum can occur for all possible values of sm. In an additional analysis, we also show that an isolated bound state solution, excluded from Sturm-Liouville problem, exists.