Ehrenfest's Theorem for the Dirac Equation in Noncommutative Phase-Space

• URL: http://arxiv.org/abs/2309.16360v2
• Date: Fri, 29 Dec 2023 11:14:52 GMT
• Title: Ehrenfest's Theorem for the Dirac Equation in Noncommutative Phase-Space
• Authors: Ilyas Haouam
• Abstract summary: We investigate Ehrenfest's theorem from the Dirac equation in a noncommutative phase-space. Knowing that with both the linear Bopp-Shift and Moyal-Weyl product, the noncommutativity is inserted.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this article, we investigate Ehrenfest's theorem from the Dirac equation in a noncommutative phase-space where we calculate the time derivative of the position and the kinetic momentum operators for Dirac particles in interaction with electromagnetic field and within a noncommutative setting. This allows examining the effect of the phase-space noncommutativity on Ehrenfest's theorem. Knowing that with both the linear Bopp-Shift and Moyal-Weyl product, the noncommutativity is inserted.

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