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arXiv · 2309.16360

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

Ilyas Haouam
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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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Ilyas Haouam. 2023-12-29. Ehrenfest's Theorem for the Dirac Equation in Noncommutative Phase-Space. https://doi.org/10.30511/mcs.2023.2013583.1143

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