Relativistic Kinetic Equation for Induced Compton Scattering of Polarized Radiation

Details Relativistic Kinetic Equation for Induced Compton Scattering of Polarized Radiation Relativistic Kinetic Equation for Induced Compton Scattering of Polarized Radiation

2001-08-22

arxiv.org/abs/astro-ph/0108357v1

Astronomy & Astrophysics (2001), 379, 664

Astronomy and Astrophysics

Astrophysics

19 pages; Astronomy & Astrophysics, in press

Scientific paper

10.1051/0004-6361:20011198

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.

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