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arXiv · 1406.3249

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

Fabiano M. Andrade·Edilberto O. Silva
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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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Fabiano M. Andrade, Edilberto O. Silva. 2014-11-05. Remarks on the Dirac oscillator in $(2+1)$ dimensions. https://doi.org/10.1209/0295-5075%2F108%2F30003

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