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

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.

UDC: 530.12

Received: 03.02.2024
Received in revised form: 18.03.2024
Accepted: 05.04.2024

Language: English