Semiclassical limit of the Dirac equation and spin precession

Abstract

We study the Dirac equation with slowly varying external potentials. Using matrix-valued Wigner functions we prove that the electron follows with high precision the classical orbit and that the spin precesses according to the BMT equation with gyromagnetic ratio g=2.

References in corpus (2)

• A semiclassical approach to the Dirac equation
• Semiclassical Dynamics with Exponentially Small Error Estimates

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