Geodesic
A classical aspect of the Dirac equation in the context of conformable fractional derivative
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 2, pp. 229-242

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In this article, in the context of the conformable fractional derivative (CFD) and employing Ehrenfest's theorem, we investigate the classical limit of the Dirac equation within conformable fractional quantum mechanics. This leads to obtaining deformed classical equations. Here, we assess the effectiveness of Ehrenfest's theorem in deriving the classical limit considering CFD. Also, we examine the correspondence principle under the influence of CFD. Additionally, we obtain the conformable fractional continuity equation.
Keywords: conformable fractional continuity equation, Ehrenfest's theorem, classical limit, correspondence principle, conformable quantum mechanics.
Mots-clés : conformable fractional Dirac equation 
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Ilyas Haouam. A classical aspect of the Dirac equation in the context of conformable fractional derivative. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 2, pp. 229-242. http://geodesic.mathdoc.fr/item/JSFU_2025_18_2_a8/