The Weyl-Wigner-Moyal formalism for spin
Department of Physics and Astronomy, Northwestern University - Evanston, IL 60208, USA
Received: 20 February 2013
Accepted: 12 June 2013
The Weyl-Wigner-Moyal formalism is developed for spin by means of a correspondence between spherical harmonics and spherical-harmonic tensor operators. The exact asymptotic relation among the P, Q, and Weyl symbols is found, and the analogue of the Moyal expansion is developed for the Weyl symbol of the product of two operators in terms of the symbols for the individual operators. It is shown that in the classical limit, the Weyl symbol for a commutator equals i times the Poisson bracket of the corresponding Weyl symbols.
PACS: 03.65.Ca – Formalism / 03.65.Sq – Semiclassical theories and applications
© EPLA, 2013