Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field

Abstract It is shown that a spin-1/2 fermion coupled to the axially symmetric electromagnetic vector potential has the same matrix structure as that one for the planar Dirac oscillator. In particular, the planar Dirac oscillator can be interpreted as a charged particle minimally coupled to a transverse homogeneous magnetic field.

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Bibliographic Details
Main Author: Castro,Antonio Soares de
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2019
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000400418
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Summary:Abstract It is shown that a spin-1/2 fermion coupled to the axially symmetric electromagnetic vector potential has the same matrix structure as that one for the planar Dirac oscillator. In particular, the planar Dirac oscillator can be interpreted as a charged particle minimally coupled to a transverse homogeneous magnetic field.