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. Copyright (C) EPLA, 2014
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Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Fis, Mexico City 04510, DF, MexicoUniv Nacl Autonoma Mexico, Fac Ciencias, Dept Fis, Mexico City 04510, DF, Mexico
Cortez, Jeronimo
Elizaga Navascues, Beatriz
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IEM CSIC, Inst Estruct Materia, Serrano 121, Madrid 28006, SpainUniv Nacl Autonoma Mexico, Fac Ciencias, Dept Fis, Mexico City 04510, DF, Mexico
Elizaga Navascues, Beatriz
Martin-Benito, Mercedes
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Radboud Univ Nijmegen, Inst Math Astrophys & Particle Phys, Heyendaalseweg 135, NL-6525 AJ Nijmegen, Netherlands
Univ Lisbon, Inst Astrofis & Ciencias Espaco, Fac Ciencias, Ed C8, PT-1749016 Lisbon, PortugalUniv Nacl Autonoma Mexico, Fac Ciencias, Dept Fis, Mexico City 04510, DF, Mexico
Martin-Benito, Mercedes
Mena Marugan, Guillermo A.
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IEM CSIC, Inst Estruct Materia, Serrano 121, Madrid 28006, SpainUniv Nacl Autonoma Mexico, Fac Ciencias, Dept Fis, Mexico City 04510, DF, Mexico
Mena Marugan, Guillermo A.
Velhinho, Jose M.
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Univ Beira Interior, Rua Marques Davila & Bolama, P-6201001 Covilha, PortugalUniv Nacl Autonoma Mexico, Fac Ciencias, Dept Fis, Mexico City 04510, DF, Mexico