ehrenfest’s theorem for the dirac equation in noncommutative phase-space

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 ⋆product, the noncommutativity is inserted.