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Open Quantum Systems Decoherence Quantum Simulation

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

arXiv
Authors: Ilyas Haouam

Year

2023

Paper ID

54345

Status

Preprint

Abstract Read

~2 min

Abstract Words

68

Citations

N/A

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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  • 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...

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