학술논문
Canonical quantization of the Dirac oscillator field in (1+1) and (3+1) dimensions.
Document Type
Article
Source
Subject
*CANONICAL quantization
*DIRAC equation
*OSCILLATIONS
*QUANTUM field theory
*DEGREES of freedom
*RELATIVISTIC energy
*DIMENSIONAL analysis
*EIGENFUNCTIONS
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Language
ISSN
1729-5254
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 quantum linear harmonic oscillators. We observe that while for the free Dirac field the energy quanta of the infinite harmonic oscillators are the relativistic energies of free particles, for the Dirac oscillator field the quanta are the energies of relativistic linear harmonic oscillators. [ABSTRACT FROM AUTHOR]