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Semiclassical limit of the Dirac equation and thegminus 2 experiment

✍ Scribed by Alan R. Katz

Publisher
Springer
Year
1988
Tongue
English
Weight
387 KB
Volume
15
Category
Article
ISSN
0377-9017

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✦ Synopsis

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, Michel, and Telegdi and find quantum corrections for inhomogeneous fields.

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We study the Whitham equations, which describe the semiclassical limit of the defocusing nonlinear SchrΓΆdinger equation. The limit is governed by a pair of hyperbolic equations of two independent variables for a short time starting from the initial time. After this hyperbolic solution breaks down, t