  The relativistic kinetic equations describing time evolution and space
dependence of the density matrices of polarized photons and electrons
interacting via Compton scattering are deduced from the quantum Liouville
equation. The induced scattering and exclusion principle are taken into
account. The Bogoliubov method is used in the frame of quantum electrodynamics.
The equation for polarized radiation scattered by unpolarized electrons is
considered as a particular case and is reformulated in terms of the Stokes
parameters. The expressions for the scattering amplitudes and cross-sections
are derived simultaneously.
