EDP Sciences
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Volume 379, Number 2, November IV 2001
Page(s) 664 - 682
Section Physical and chemical processes
DOI http://dx.doi.org/10.1051/0004-6361:20011198

A&A 379, 664-682 (2001)
DOI: 10.1051/0004-6361:20011198

Relativistic kinetic equation for induced Compton scattering of polarized radiation

D. I. Nagirner1 and J. Poutanen2, 3

1  Sobolev Astronomical Institute, St. Petersburg State University, Staryj Peterhof, 198904 St. Petersburg, Russia
    e-mail: dinmax@dn1756.spb.edu
2  Stockholm Observatory, 106 91 Stockholm, Sweden
3  Astronomy Division, PO Box 3000, 90014 University of Oulu, Finland

(Received 9 February 2001 / Accepted 8 August 2001 )

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.

Key words: methods: analytical -- radiation mechanisms: general -- plasmas -- polarization -- scattering

Offprint request: J. Poutanen, juri@astro.su.se

© ESO 2001