Semiclassical Limit of the Dirac Equation and Spin Precession

1999/11/14 by Herbert Spohn · 1 citation
Mathematics · Physics and Astronomy · #Dirac (video compression format) #Dirac equation #Gyromagnetic ratio #Larmor precession #Limit (mathematics) #Precession #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Semiclassical physics #Spectral Theory in Mathematical Physics #Spin (aerodynamics) #quant-ph

paper · pdf · doi:10.1006/aphy.2000.6039

arxiv created 1999/11/14 · openalex publication_date 2000/06/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Semiclassical Dynamics¶with Exponentially Small Error Estimates
• Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field

Cited by

• The Birth of Quantum Mechanics and the Dirac Equation