Abstract:The main goal of this work is to study the Dirac oscillator as a quantum field using the canonical formalism of quantum field theory and to develop the canonical quantization procedure for this system in (1 + 1) and (3 + 1) dimensions. This is possible because the Dirac oscillator is characterized by the absence of the Klein paradox and by the completeness of its eigenfunctions.We show that the Dirac oscillator field can be seen as constituted by infinite degrees of freedom which are identified as decoupled qu… Show more
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