Gr. Shin et J. Rafelski, RELATIVISTIC TRANSPORT-EQUATIONS FOR ELECTROMAGNETIC, SCALAR, AND PSEUDOSCALAR POTENTIALS, Annals of physics, 243(1), 1995, pp. 65-75
We propose a particular form of relativistic transport equations arisi
ng from the classical limit of single-time Wigner function for Dirac p
articles evolving in the presence of scalar, pseudoscalar, and electro
magnetic fields. These relativistic Vlasov-type equations for the part
icle and the antiparticle sector of the Fock space can be also obtaine
d assuming the validity of the Liouville's equation given a suitable c
lassical Hamiltonian and the associated force. (C) 1995 Academic Press
, Inc.