Relativistic Kinetic Equation for Induced Compton Scattering of Polarized Radiation

Abstract

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.

19 pages; Astronomy & Astrophysics, in press

References in corpus (2)

• Quasi-thermal Comptonization and gamma-ray bursts
• The radiative transfer equations for Compton scattering of polarized low frequency radiation on a hot electron gas

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• Inverse Compton Scattering of Radiation from a Central Source as a Possible Mechanism for the Formation of X-Ray Radiation from Kiloparsec Jets of Core-Dominated Quasars