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We study scattering of waves by black holes. Solving a massless scalar field with a point source in the Schwarzschild spacetime, waves scattered by the black hole is obtained numerically. We then reconstruct images of the black hole from…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Ken-ichiro Kanai , Yasusada Nambu

Scattering amplitudes are tempered distributions, which are defined through their action on functions in the Schwartz space $S(\mathbb{R})$ by duality. For massless particles, their conformal properties become manifest when considering…

High Energy Physics - Theory · Physics 2024-01-18 Yorgo Pano , Majdouline Borji

We study superradiance effect in the ghost-free theory. We consider a scattering of a ghost-free scalar massless field on a rotating cylinder. We assume that cylinder is thin and empty inside, so that its interaction with the field is…

High Energy Physics - Theory · Physics 2018-10-24 Valeri P. Frolov , Andrei Zelnikov

Recent advances in electron microscopy allowed the generation of high-energy electron wave packets of ultrashort duration. Here we present a non-perturbative S-matrix theory for scattering of ultrashort electron wave packets by atomic…

Atomic Physics · Physics 2026-05-08 Yuya Morimoto , Lars Bojer Madsen

We develop a formalism for computing the scattering amplitudes in maximally symmetric de Sitter spacetime with compact spatial dimensions. We describe quantum states by using the representation theory of de Sitter symmetry group and link…

High Energy Physics - Theory · Physics 2025-07-18 Tomasz R. Taylor , Bin Zhu

In this paper we survey some recent results concerning scattering and non-scattering in the context of the linear Helmholtz equation and inhomogeneities of nontrivial contrast. We examine isotropic as well as anisotropic media. Part of the…

Analysis of PDEs · Mathematics 2026-02-09 Fioralba Cakoni , Michael S. Vogelius

The transfer matrix of scattering theory in one dimension can be expressed in terms of the time-evolution operator for an effective non-unitary quantum system. In particular, it admits a Dyson series expansion which turns out to facilitate…

Quantum Physics · Physics 2025-03-25 Farhang Loran , Ali Mostafazadeh

In this work, we use McGuire's model to describe scattering of three spinless identical particles in one spatial dimension, we first present analytic solutions of Faddeev's equation for scattering of three spinless particles in free space.…

High Energy Physics - Lattice · Physics 2017-03-29 Peng Guo

We demonstrate an interference method to determine the low-energy elastic scattering amplitudes of a quantum gas. We linearly accelerate two ultracold atomic clouds up to energies of 1.2 mK and observe the collision halo by direct imaging…

Quantum Gases · Physics 2013-11-26 Ch. Buggle , J. Léonard , W. von Klitzing , J. T. M. Walraven

We initiate the study of positive geometry and scattering forms for tree-level amplitudes with matter particles in the (anti-)fundamental representation of the color/flavor group. As a toy example, we study the bi-color scalar theory, which…

High Energy Physics - Theory · Physics 2020-06-08 Aidan Herderschee , Song He , Fei Teng , Yong Zhang

The interaction between radiation and superconductors is explored in this paper. In particular, the calculation of a plane standing wave scattered by an infinite cylindrical superconductor is performed by solving the Helmholtz equation in…

Superconductivity · Physics 2012-02-23 Miguel C. N. Fiolhais , Hanno Essén

An approach to scattering theory in three dimensional AdS spaces is proposed. Firstly we consider the scattering of spinless relativistic particles by a three dimensional extremal black hole and compute the absorption cross section…

High Energy Physics - Theory · Physics 2008-11-26 J. Gamboa , F. Mendez

We construct a perturbation theory which we conjecture to be free of the Coulomb-phase infrared divergence. This perturbation theory is developed for one of the simplest yet prototypical scattering amplitudes which would otherwise exhibit…

High Energy Physics - Theory · Physics 2025-03-21 Luke Lippstreu

We present a non-perturbative expression for the scattering matrix of $N$ particles interacting inside a quantum dot. Characterizing the dot by its resonances, we find a compact form for the scattering matrix in a real-time representation.…

Mesoscale and Nanoscale Physics · Physics 2008-06-10 A. V. Lebedev , G. B. Lesovik , G. Blatter

We study a novel class of higher derivative theories for interacting massless gravitons in Minkowski spacetime. These theories were first discussed by Wald decades ago, and are characterized by scattering amplitudes essentially different…

High Energy Physics - Theory · Physics 2018-05-15 Dong Bai , Yu-Hang Xing

We employ a scalar model to exemplify the use of contour deformations when solving Lorentz-invariant integral equations for scattering amplitudes. In particular, we calculate the onshell 2 -> 2 scattering amplitude for the scalar system.…

High Energy Physics - Phenomenology · Physics 2019-11-06 Gernot Eichmann , Pedro Duarte , M. T. Peña , Alfred Stadler

We derive pseudo-potentials that describe the scattering between two particles in two spatial dimensions for any partial wave m, whose scattering strength is parameterized in terms of the m-dependent phase shift. Using our m=0…

Other Condensed Matter · Physics 2009-11-11 K. Kanjilal , D. Blume

The magnetic field is one of the most important constituents of the cosmic space and one of the main sources of the dynamics of interacting matter in the universe. The astronomical observations imply the existence of a strong magnetic…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Juhua Chen , Hao Liao , Yongjiu Wang

We propose a simple formula for multichannel resonant scattering with parameters related to physical resonant properties. It can be used to predict residue phase from other resonant parameters and describe the shape of scattering amplitudes…

High Energy Physics - Phenomenology · Physics 2017-02-03 Saša Ceci , Marin Vukšić , Branimir Zauner

We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles. For general relativity, we obtain analytic…

High Energy Physics - Theory · Physics 2019-01-31 Clifford Cheung , Ira Z. Rothstein , Mikhail P. Solon
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