TL;DR
This paper introduces a novel mathematical representation of the Dirac oscillator using Clifford algebra $C ell_7$, analyzing its symmetry breaking and energy spectrum in the non-relativistic limit.
Contribution
The work presents a new Clifford algebra-based representation of the Dirac oscillator, expanding the mathematical framework for its analysis.
Findings
New Clifford algebra representation of the Dirac oscillator
Analysis of symmetry breaking in the non-relativistic limit
Derivation of energy eigenvalues in the new framework
Abstract
In the present work we obtain a new representation for the Dirac oscillator based on the Clifford algebra The symmetry breaking and the energy eigenvalues for our model of the Dirac oscillator are studied in the non-relativistic limit.
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