A classical aspect of the Dirac equation in the context of conformable fractional derivative

Ilyas Haouam

Laboratoire de Physique Mathématique et de Physique Subatomique (LPMPS), Université Fréres Mentouri, Constantine 25000, Algeria

Abstract: 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 Dirac equation, conformable fractional continuity equation, Ehrenfest's theorem, classical limit, correspondence principle, conformable quantum mechanics.

UDC: 530.1

Received: 24.04.2024
Received in revised form: 29.05.2024
Accepted: 14.01.2025

Language: English