11,246 research outputs found
Monte Carlo Simulation of Comptonization in Inhomogeneous Media
Comptonization is the process in which photon spectrum changes due to
multiple Compton scatterings in the electronic plasma. It plays an important
role in the spectral formation of astrophysical X-ray and gamma-ray sources.
There are several intrinsic limitations for the analytical method in dealing
with the Comptonization problem and Monte Carlo simulation is one of the few
alternatives. We describe an efficient Monte Carlo method that can solve the
Comptonization problem in a fully relativistic way. We expanded the method so
that it is capable of simulating Comptonization in the media where electron
density and temperature varies discontinuously from one region to the other and
in the isothermal media where density varies continuously along photon paths.
The algorithms are presented in detail to facilitate computer code
implementation. We also present a few examples of its application to the
astrophysical research.Comment: 12 pages, 4 figures, Postscript file, in press ("Computers in
Physics", Vol. 11, No. 6
Spectra of some invertible weighted composition operators on Hardy and weighted Bergman spaces in the unit ball
In this paper, we investigate the spectra of invertible weighted composition
operators with automorphism symbols, on Hardy space and
weighted Bergman spaces , where is the
unit ball of the -dimensional complex space. By taking ,
the unit disc, we also complete the discussion about
the spectrum of a weighted composition operator when it is invertible on
or .Comment: 23 Page
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