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Remarks on the Dirac oscillator in $(2+1)$ dimensions (1406.3249v3)
Published 12 Jun 2014 in hep-th, math-ph, math.MP, and quant-ph
Abstract: In this work the Dirac oscillator in $(2+1)$ 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.
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