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I study the formation of Comptonization spectra in spherically symmetric, fast moving media in a flat spacetime. I analyze the mathematical character of the moments of the transfer equation in the system-frame and describe a numerical…

Astrophysics · Physics 2009-10-31 Dimitrios Psaltis

We calculate the first relativistic corrections to the Kompaneets equation for the evolution of the photon frequency distribution brought about by Compton scattering. The Lorentz invariant Boltzmann equation for electron-photon scattering…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Lowell S. Brown , Dean L. Preston

Compton scattering is one of the cornerstones of quantum physics, describing the fundamental interaction of a charged particle with photons. The Compton effect and its inverse are utilized in experiments driving free electrons by high…

Quantum Physics · Physics 2026-01-30 Majed Khalaf , Ido Kaminer

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…

Astrophysics · Physics 2009-11-07 Dmitrij I. Nagirner , Juri Poutanen

We consider the Comptonization of an isotropic radiation field by a thermal distribution of electrons with non-vanishing bulk velocity. We include all relativistic effects, including induced scattering and electron recoil, in the derivation…

Astrophysics · Physics 2009-10-30 Anthony Challinor , Anthony Lasenby

Compton scattering plays an important role in various astrophysical objects such as accreting black holes and neutron stars, pulsars, and relativistic jets, clusters of galaxies as well as the early Universe. In most of the calculations it…

High Energy Astrophysical Phenomena · Physics 2010-07-22 Juri Poutanen , Indrek Vurm

A quantum theory of scattering of radiation by a stationary free electron based on photon conception and relativistic kinematics, applying the principles of conservation of energy and conservation of momentum was proposed by Compton to…

Quantum Physics · Physics 2013-06-04 Vinay Venugopal , Piyush S Bhagdikar

Interactions between photons and electrons are ubiquitous in astrophysics. Photons can be down scattered (Compton scattering) or up scattered (inverse Compton scattering) by moving electrons. Inverse Compton scattering, in particular, is an…

High Energy Astrophysical Phenomena · Physics 2023-04-05 Anderson C. M. Lai , Kenny C. Y. Ng

When an electron is accelerated, it emits radiation. In the relativistic quantum realm the elementary radiation process is the emission of a single photon, a process known as nonlinear Compton scattering in the case of an electron moving in…

Quantum Physics · Physics 2026-05-06 Antonino Di Piazza , Kenan Qu

The paper deals with kinematic conditions for the inverse Compton scattering of photons by relativistic electrons and the polarizations of the colliding particles, which affect the value of the differential cross section of the process. A…

High Energy Physics - Phenomenology · Physics 2023-06-06 Kirill Bornikov , Igor Volobuev , Yuri Popov

Comptonization is a very important phenomenon in astrophysics. Kompaneets equation describes up-Comptonization process in nonrelativistic astrophysics, while it fails for down-Comptonization Scattering which is the most important radiative…

High Energy Astrophysical Phenomena · Physics 2015-09-02 Xu Zhang , Xurong Chen

Compton scattering is a key process shaping spectra formation and accretion flow dynamics in accreting strongly magnetized neutron stars. A strong magnetic field affects the scattering cross section and makes it dependent on photon energy,…

We deduce the equations that describe how polarized radiation is Comptonized by a hot electron gas. Low frequencies are considered, and the equations are expanded to second order in electron velocities. Induced scattering terms are included…

Astrophysics · Physics 2009-10-31 Frode K. Hansen , Per B. Lilje

We study the Compton scattering of light by free electrons inside a hyperbolic medium. We demonstrate that the unconventional dispersion and local density of states of the electromagnetic modes in such media can lead to a giant Compton…

Optics · Physics 2014-10-20 Ivan Iorsh , Alexandr Poddubny , Pavel Ginzburg , Pavel Belov , Yuri Kivshar

Radiative transfer equation in plane parallel geometry and Kompaneets equation is solved simultaneously to obtain theoretical spectrum of 1-125 KeV photon energy range. Diffuse radiation field is calculated using time-independent radiative…

Solar and Stellar Astrophysics · Physics 2015-05-20 A. Peraiah , M. Srinivasa Rao , B. A. varghese

We treat the non-relativistic Compton scattering process in which an incoming photon scatters from an N-electron many-body state to yield an outgoing photon and a recoil electron, without invoking the commonly used frameworks of either the…

Strongly Correlated Electrons · Physics 2007-10-11 I. G. Kaplan , B. Barbiellini , A. Bansil

Multi-group method is an accepted technique for approximately solving the equation of radiative transfer. In this paper, group averaged transfer scattering cross sections, required for solving the equation of radiative transfer in a…

Plasma Physics · Physics 2010-08-31 J. Fiedler

We introduce a stochastic multi-photon dynamics on reciprocal space. Assuming isotropy, we derive the diffusion limit for a tagged photon to be a nonlinear Markov process on frequency. The nonlinearity stems from the stimulated emission. In…

Statistical Mechanics · Physics 2022-08-18 Guilherme Eduardo Freire Oliveira , Christian Maes , Kasper Meerts

The Kompaneets theory of photon kinetic evolution due to the Compton effect in the absence of absorption and emission is extended to the case of the Vlasov plasma wave oscillations. Under the assumption that the electron distribution…

Chaotic Dynamics · Physics 2015-11-26 G Erochenkova , Cristel Chandre

Compton scattering is usually explained in terms of the relativistic mass and momentum. Here, a mathematically equivalent and simple non-relativistic interpretation shows that the Compton frequency shift is equal to the de Broglie frequency…

General Physics · Physics 2007-05-23 Raji Heyrovska
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