The non-relativistic limits of the Maxwell and Dirac equations: the role of Galilean and gauge invariance
β Scribed by Peter Holland; Harvey R. Brown
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 239 KB
- Volume
- 34
- Category
- Article
- ISSN
- 1355-2198
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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. 2000
A relativistic mechanics for a Dirac particle is derived as the semi-classical limit of the Dirac equation. The theory resembles ordinary mechanics, except that some of the phase space variables are four by four matrices. We are able to derive from QED the spin precession equation of Bargmann, Miche