Kinetic equations for electron excitations and heavy fermions

A system of kinetic equations that describe the relaxation of electron excitations and heavy quasiparticles in a model with periodic Anderson Hamiltonian is obtained. It is shown that in the second and higher orders of perturbation theory for the spatially homogeneous case the complete system of equations contains not only kinetic equations for “light” and “heavy” quasiparticles but also a system of integral equations for the nonequilibrium quasiparticle spectrum, the nonequilibrium renormalization of the mixing parameter, and the $f$ level of localized electrons.