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We propose a procedure for computing the direct scattering transform of the periodic sine-Gordon equation. This procedure, previously used within the periodic Korteweg-de Vries equation framework, is implemented for the case of the…

Pattern Formation and Solitons · Physics 2023-12-08 Filip Novkoski , Eric Falcon , Chi-Tuong Pham

The non-linear Compton scattering rate in a rotating electric field is explicitly calculated for the first time. For this purpose, a novel solution to the Klein-Gordon equation in the presence of a rotating electric field is applied. An…

High Energy Physics - Phenomenology · Physics 2016-12-14 Erez Raicher , Shalom Eliezer , Arie Zigler

Computational methods for electromagnetic and light scattering can be used for the calculation of optical forces and torques. Since typical particles that are optically trapped or manipulated are on the order of the wavelength in size,…

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…

Computational Physics · Physics 2009-10-30 Xin-Min Hua

Induced Compton scattering (ICS) is an interaction between intense electro-magnetic radiations and plasmas, where ICS transfers the energy from photons to plasmas. Although ICS is important for laser plasma interactions in laboratory…

High Energy Astrophysical Phenomena · Physics 2015-07-01 Shuta J. Tanaka , Katsuaki Asano , Toshio Terasawa

The frequency distribution of photons in frequency that results from single Compton scattering of monochromatic radiation on thermal electrons is derived in the mildly relativistic limit. Algebraic expressions are given for (1) the photon…

Astrophysics · Physics 2009-10-31 S. Y. Sazonov , R. A. Sunyaev

We consider two phase accretion disk-corona models for active galactic nuclei and some X-ray binaries. We describe in detail how one can exactly solve the polarized radiative transfer and Comptonization using the iterative scattering…

Astrophysics · Physics 2009-10-28 Juri Poutanen , Roland Svensson

The inverse Compton (IC) scattering of relativistic electrons is one of the major gamma-ray production mechanisms in different environments. Often the target photons for the IC scattering are dominated by black (or grey) body radiation. In…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Dmitry Khangulyan , Felix A. Aharonian , Stanislav R. Kelner

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

In the calculation of cross sections for infrared-safe observables in high energy collisions at next-to-leading order, one approach is to perform all of the integrations, including the virtual loop integration numerically. One would use a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zoltan Nagy , Davison E. Soper

In this article, we propose a numerical approach to solve quantum mechanical scattering problems, using phase function method, by considering neutron-proton interaction as an example. The nonlinear phase equation, obtained from the…

Nuclear Theory · Physics 2023-10-12 Shikha Awasthi , Anil Khachi , Lalit Kumar , O. S. K. S. Sastri

Many integral equation-based methods are available for problems of time-harmonic electromagnetic scattering from perfect electric conductors. Among the many challenges that arise in such calculations are the avoidance of spurious…

Numerical Analysis · Mathematics 2025-07-17 Felipe Vico , Leslie Greengard , Michael O'Neil , Manas Rachh

Background: Path integrals are a powerful tool for solving problems in quantum theory that are not amenable to a treatment by perturbation theory. Most path integral computations require an analytic continuation to imaginary time. While…

Nuclear Theory · Physics 2020-07-01 W. N. Polyzou , Ekaterina Nathanson

The scattering equations are a set of algebraic equations connecting the kinematic space of massless particles and the moduli space of Riemann spheres with marked points. We present an efficient method for solving the scattering equations…

High Energy Physics - Theory · Physics 2019-02-19 Zhengwen Liu , Xiaoran Zhao

A covariant scattering kernel is a core component in any self-consistent general relativistic radiative transfer formulation in scattering media. An explicit closed-form expression for a covariant Compton scattering kernel with a good…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Ziri Younsi , Kinwah Wu

Future quantum computers may serve as a tool to access non-perturbative real-time correlation functions. In this talk, we discuss the prospects of using these to study Compton scattering for arbitrary kinematics. The restriction to a…

High Energy Physics - Lattice · Physics 2021-12-06 Raul A. Briceño , Marco A. Carrillo , Juan V. Guerrero , Maxwell T. Hansen , Alexandru M. Sturzu

Neutrino-nucleus cross section uncertainties are expected to be a dominant systematic in future accelerator neutrino experiments. The cross sections are determined by the linear response of the nucleus to the weak interactions of the…

Quantum Physics · Physics 2020-05-06 Alessandro Roggero , Andy C. Y. Li , Joseph Carlson , Rajan Gupta , Gabriel N. Perdue

The problem of the anisotropic Inverse Compton scattering between a monochromatic photon beam and relativistic electrons is revisited and formally solved without approximations. Solutions are given for the single scattering with an electron…

Astrophysics · Physics 2016-08-30 G. Brunetti

Electromagnetic scattering on a sphere is one of the most fundamental problems, which has a closed form analytical solution in the form of Mie series. Being initially formulated for a plane incident wave, the formalism can be extended to…

Optics · Physics 2021-06-11 Yuval Kashtera , Eran Falek , Pavel Ginzburg

A new algorithm for implementing the adaptive Monte Carlo method is given. It is used to solve the relativistic Boltzmann equations that describe the time evolution of a nonequilibrium electron-positron pair plasma containing high-energy…

Astrophysics · Physics 2009-10-30 Ravi P. Pilla , Jacob Shaham