Abstract
Abstract It is shown that the Dirac oscillator in a (2+1)-dimensional spacetime can be interpreted as a spin-1/2 fermion embedded in a transverse homogeneous magnetic field.
Highlights
In the Minkowski spacetime, the behaviour of a spin1/2 fermion of mass m subject to the most generic set of interactions is governed by the Dirac equation
The interaction potential matrix of the Dirac oscillator under Lorentz transformations changes depending on the dimensions of the Minkowski spacetime
It is natural to ask about the Lorentz nature of the interaction potential matrix corresponding to the (2 + 1)-dimensional version of the Dirac oscillator
Summary
Where pμ = i∂μ and V is the interaction potential matrix. The most general Dirac equation can be written in the form In (3 + 1) dimensions, γμ can be represented by a 4 × 4 matrix and the general interaction potential matrix
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