English

Semiclassical limit of the Dirac equation and spin precession

Quantum Physics 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/9911065,
  title  = {Semiclassical limit of the Dirac equation and spin precession},
  author = {Herbert Spohn},
  journal= {arXiv preprint arXiv:quant-ph/9911065},
  year   = {2009}
}
R2 v1 2026-07-22T20:07:29.486Z