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Conventional scattering theory is incomplete in that it does not adequately describe the behaviour of the wave function at macroscopic distances from the scattering reaction volume. In scattering experiments particles are incident from…

Quantum Physics · Physics 2021-10-05 John S. Briggs , James M. Feagin

On the basis of the eikonal approximation of quantum scattering theory, the problem of fast charged particles scattering in a thin crystal when particles fall along one its plane of atoms and in a thin layer of amorphous matter is…

Mesoscale and Nanoscale Physics · Physics 2019-08-05 N. F. Shul'ga , V. D. Koriukina

In the classical model of atomic polarizability, atomic charges are displaced by an applied electric field, assuming the electron cloud remains spherically symmetric but with its center shifted from the nucleus, thereby inducing an electric…

Classical Physics · Physics 2025-02-11 O. F. de Alcantara Bonfim

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

The spectral and scattering theory is investigated for a generalization, to scattering metrics on two-dimensional compact manifolds with boundary, of the class of smooth potentials on the Euclidean plane which are homogeneous of degree zero…

Analysis of PDEs · Mathematics 2007-05-23 Andrew Hassell , Richard B. Melrose , András Vasy

Theoretical continuum models that describe the formation of patterns on surfaces of targets undergoing ion-beam sputtering, are based on Sigmund's formula, which describes the spatial distribution of the energy deposited by the ion. For…

Materials Science · Physics 2009-11-10 M. Feix , A. K. Hartmann , R. Kree , J. Munoz-Garcia , R. Cuerno

In this work, we study the elastic scattering behavior of electron vortices when propagating through amorphous samples. We use a formulation of the multislice approach in cylindrical coordinates to theoretically investigate the…

Materials Science · Physics 2021-03-22 Stefan Löffler , Stefan Sack , Thomas Schachinger

We investigate classical scattering off a harmonically oscillating target in two spatial dimensions. The shape of the scatterer is assumed to have a boundary which is locally convex at any point and does not support the presence of any…

A few years ago, diffraction of atoms by double slits and gratings was achieved for the first time, and standard optical wave-theory provided an excellent description of the experiments. More recently, diffraction of weakly bound molecules…

Quantum Physics · Physics 2007-05-23 Gerhard C. Hegerfeldt , Thorsten Koehler

Thanks to J.~Schwinger, the process of elastic scattering of neutrons by nuclei is known to depend on the interference between a nuclear amplitude and an electromagnetic one for small scattering angles, resulting in spin asymmetries of a…

Nuclear Theory · Physics 2019-12-04 Andrei V. Afanasev , D. V. Karlovets , V. G. Serbo

In this paper we investigate the spectral and scattering theory for operators acting on topological crystals and on their perturbations. A special attention is paid to perturbations obtained by the addition of an infinite number of edges,…

Mathematical Physics · Physics 2022-05-25 S. Richard , N. Tsuzu

This is a review of Glauber's asymptotic diffraction theory, in which diffractive scattering is described in terms of interference between semiclassical amplitudes, resulting from a stationary-phase approximation. Typically two such…

Nuclear Theory · Physics 2019-10-17 Per Osland

The basis for the application of Thomson scattering to the analysis of coronagraph images has been laid decades ago.Even though the basic formulation is undebated, a discussion has grown in recent years about the spatial distribution of…

Solar and Stellar Astrophysics · Physics 2016-04-06 Bernd Inhester

A formalism is introduced for the non-perturbative, purely numerical, solution of the reduced Rayleigh equation for the scattering of light from two-dimensional penetrable rough surfaces. As an example, we apply this formalism to study the…

Optics · Physics 2012-05-03 Tor Nordam , Paul Anton Letnes , Ingve Simonsen

Typically one expects that when a heavy particle collides with a surface, the scattered angular distribution will follow classical mechanics. The heavy mass assures that the de Broglie wavelength of the incident particle in the direction of…

Chemical Physics · Physics 2015-05-19 Jeremy M. Moix , Eli Pollak

It is known that the Jost-function formulation of quantum scattering theory can be applied to classical problems concerned with the scattering of a plane scalar wave by a medium with a spherically symmetric inhomogeneity of finite extent.…

Classical Physics · Physics 2014-05-14 Umaporn Nuntaplook , John A Adam

We propose a general impulsive model for scattering of molecules from a flat solid surface. It is assumed within the framework of this model that an encounter of an atom (or ion) with the surface is a series of elastic (in the direction…

A quantum Markovian activated atom-surface diffusion model with interacting adsorbates is proposed for the intermediate scattering function, which is shown to be complex-valued and factorizable into a classical-like and a quantum-mechanical…

Statistical Mechanics · Physics 2008-11-14 R. Martinez-Casado , A. S. Sanz , S. Miret-Artes

Extensions of standard one-dimensional supersymmetric quantum mechanics are discussed. Supercharges involving higher order derivatives are introduced leading to an algebra which incorporates a higher order polynomial in the Hamiltonian. We…

High Energy Physics - Theory · Physics 2010-04-06 A. A. Andrianov , F. Cannata , J. -P-Dedonder , M. V. Ioffe

Angular distributions of Thomson scattering are researched in the combined fields with a circularly polarization of laser field and a strong uniform magnetic field. The trajectories of the electron and the dependence of it on the initial…

Plasma Physics · Physics 2018-10-22 Li Zhao , Zhijing Chen , Chun Jiang , Jian Huang , Chong Lv , Bai-Song Xie , Hai-Bo Sang