Dirac Equation in the Magueijo-Smolin Approach of Double Special Relativity

2011/06/07 by Zineb Belhadi, Z. Belhadi, Belhadi, Z. +12
Engineering · Physics and Astronomy · #FOS: Physical sciences #Geophysics and Sensor Technology #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.48550/arxiv.1106.1302

arxiv created 2011/06/07 · openalex publication_date 2011/06/07 · arxiv updated 2011/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We reconsider in details the Dirac equation in the context of the Magueijo-Smolin approach to the Doubly Special Relativity. Starting from the deformed dispersion relation we obtain the Dirac equation in momentum space, allowing us to achieve a more in-depth study of its semiclassical approach. Finally by means of a deformed correspondence principle we gain access to an equation in the position space.

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