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Journal of Siberian Federal University. Mathematics & Physics, 2024, Volume 17, Issue 4, Pages 435–447 (Mi jsfu1173)  

A classical limit for the Dirac equation in the context of Magueijo–Smolin model of the doubly special relativity using the Ehrenfest's theorem

Ilyas Haouam

Laboratoire de Physique Mathematique et de Physique Subatomique (LPMPS), Université Fréres Mentouri, Constantine 25000, Algeria
References:
Abstract: 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: Dirac equation, doubly special relativity, Magueijo–Smolin model, Ehrenfest's theorem, classical limit.
Received: 03.02.2024
Received in revised form: 18.03.2024
Accepted: 05.04.2024
Bibliographic databases:
Document Type: Article
UDC: 530.12
Language: English
Citation: 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”, J. Sib. Fed. Univ. Math. Phys., 17:4 (2024), 435–447
Citation in format AMSBIB
\Bibitem{Hao24}
\by Ilyas~Haouam
\paper A classical limit for the Dirac equation in the context of Magueijo--Smolin model of the doubly special relativity using the Ehrenfest's theorem
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2024
\vol 17
\issue 4
\pages 435--447
\mathnet{http://mi.mathnet.ru/jsfu1173}
\edn{https://elibrary.ru/AZCKLC}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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