Ehrenfest's theorem for the Dirac equation in noncommutative Phase-Space

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 ⋆product, the noncommutativity is inserted.

Keywords

• dirac equation
• noncommutative quantum mechanics
• classical limit
• ehrenfest's theorem