Remarks on the Dirac oscillator in (2 + 1) dimensions
1 Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa 84030-900 Ponta Grossa-PR, Brazil
2 Departamento de Física, Universidade Federal do Maranhão - Campus Universitário do Bacanga, 65085-580 São Luís- MA, Brazil
Received: 28 July 2014
Accepted: 16 October 2014
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.
PACS: 03.65.Pm – Relativistic wave equations / 03.65.Ge – Solutions of wave equations: bound states / 03.65.-w – Quantum mechanics
© EPLA, 2014