Relativistic transport equations for electromagnetic, scalar, and pseudoscalar potentials (Q1908553)

We propose a particular form of relativistic transport equations arising from the classical limit of single-time Wigner function for Dirac particles evolving in the presence of scalar, pseudoscalar, and electromagnetic fields. These relativistic Vlasov-type equations for the particle and the antiparticle sector of the Fock space can be also obtained assuming the validity of the Liouville's equation given a suitable classical Hamiltonian and the associated force.