Geodesic
A classical limit for the Dirac equation in the context of Magueijo--Smolin model of the doubly special relativity using the Ehrenfest's theorem
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 4, pp. 435-447

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In this article, in the context of the Magueijo\textendash Smolin model and employing Ehrenfest's theorem, we investigate the classical limit of the Dirac equation within doubly special relativity. This leads to obtaining deformed classical equations. Here, we assess the effectiveness of Ehrenfest's theorem in deriving the classical limit in the presence of Magueijo–Smolin model. Besides, we explore the deformed classical equations under the discrete, $\mathcal{CPT}$ and Lorentz symmetries.
Keywords: doubly special relativity, Magueijo–Smolin model, Ehrenfest's theorem, classical limit.
Mots-clés : Dirac equation 
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     title = {A classical limit for the {Dirac} equation in the context of {Magueijo--Smolin} model of the doubly special relativity using the {Ehrenfest's} theorem},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {435--447},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_4_a0/}
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Ilyas Haouam. A classical limit for the Dirac equation in the context of Magueijo--Smolin model of the doubly special relativity using the Ehrenfest's theorem. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 4, pp. 435-447. http://geodesic.mathdoc.fr/item/JSFU_2024_17_4_a0/