Semiclassical Limit of the Dirac Equation and Spin Precession

Author: Spohn H.  

Publisher: Elsevier

ISSN: 0003-4916

Source: Annals of Physics, Vol.282, Iss.2, 2000-06, pp. : 420-431

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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. Copyright 2000 Academic Press.