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We study the numerical approximation of the inverse scattering problem in the two-dimensional homogeneous isotropic linear elasticity with an unknown linear load given by a square matrix. For both backscattering data and fixed-angle…

Analysis of PDEs · Mathematics 2022-05-20 J. A. Barceló , C. Castro , M. C. Vilela

We consider the nonlinear Schr{\"o}dinger equation with a short-range external potential, in a semi-classical scaling. We show that for fixed Planck constant, a com-plete scattering theory is available, showing that both the potential and…

Analysis of PDEs · Mathematics 2020-12-16 Rémi Carles

We calculate cross sections for low energy elastic exciton-exciton scattering within the effective mass approximation. Unlike previous theoretical approaches, we give a complete, non-perturbative treatment of the four-particle scattering…

Condensed Matter · Physics 2010-07-28 J. Shumway , D. M. Ceperley

The problem of electron-proton scattering is handed over both the elastic and inelastic scattering. Two models are presented in this sense. The first, depends on the multi photon exchange ladder diagram, where the transition matrix is…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. T. Hussein , R. Elmualed , N. M. Hassan

A simple position probability density formulation is presented for the motion of a particle in a spherically symmetric potential. The approach provides an alternative to Newtonian methods for presentation in an elementary course, and…

Physics Education · Physics 2007-05-23 Lorenzo J. Curtis , David G. Ellis

We present a theoretical approach to study the dynamics of spherical, cylindrical and ellipsoidal charge distributions under their self-Coulomb field and a stochastic force due to collisions and random motions of charged particles. The…

Plasma Physics · Physics 2022-02-14 Omid Zandi , Renske M. van der Veen

On-shell methods are particularly suited for exploring the scattering of electrically and magnetically charged objects, for which there is no local and Lorentz invariant Lagrangian description. In this paper we show how to construct a…

High Energy Physics - Theory · Physics 2021-09-01 Csaba Csaki , Sungwoo Hong , Yuri Shirman , Ofri Telem , John Terning , Michael Waterbury

Semiclassical spectra weighted with products of diagonal matrix elements of operators A_{alpha}, i.e., g_{alpha alpha'}(E) = sum_n <n|A_{alpha}|n><n|A_{alpha'}|n>/(E-E_n) are obtained by harmonic inversion of a cross-correlation signal…

chao-dyn · Physics 2009-10-31 J. Main , K. Weibert , V. A. Mandelshtam , G. Wunner

We investigate the scattering cross section of aligned dipolar molecules in low-temperature gases. Over a wide range of collision energies relevant to contemporary experiments, the cross section declines in inverse proportion to the…

Atomic Physics · Physics 2015-05-13 J. L. Bohn , M. Cavagnero , C. Ticknor

In a recent article, Schild et al. present what they call an alternative approach to the determination of mean free paths of electron scattering in liquid water. This by no means new approach is based on a very simplistic two channel model…

Chemical Physics · Physics 2020-01-20 Ruth Signorell

Within the framework of the Zakharov-Schulman approach, in close analogy with the methods of quantum field theory, the classical scattering matrix for the simplest process of interaction between hard and soft excitations in a quark-gluon…

High Energy Physics - Theory · Physics 2025-11-10 Yu. A. Markov , M. A. Markova , D. M. Gitman , N. Yu. Markov

We develop an approach to describing coherent Compton scattering of photons in the keV energy range from hydrogen and helium atoms based on a relativistic version of the AA-approximation within the standard perturbative S-matrix formalism.…

Atomic Physics · Physics 2019-01-30 Irina A. Gnilozub , Alexander Galstyan , Yuri V. Popov , Igor P. Volobuev

We present results using a new scaling variable, xi_w in modeling electron- and neutrino-nucleon scattering cross sections with effective leading order PDFs.Our model uses all inelastic charged lepton F_2 data (SLAC/BCDMS/NMC/HERA), and…

High Energy Physics - Phenomenology · Physics 2015-06-25 Arie Bodek , Un-ki Yang

The commonly used West and Yennie model approach to the description of the interference between Coulomb and hadronic scattering of nucleons is critically examined and its deficiencies are clarified. The preference of the more general…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Kundrat , M. Lokajicek

We compare two different models of transport of light in a disordered system with a spherical Gaussian distribution of scatterers. A coupled dipole model, keeping into account all interference effects, is compared to an incoherent model,…

A short summary of the drift-diffusion-Langevin formalism for calculating finite-frequency shot noise in diffusive conductors is presented. Two new results are included in this presentation. First, we arrive at a simple (but accurate)…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Naveh

We describe a method of white-beam inelastic neutron scattering for improved measurement efficiency. The method consists of matrix inversion and selective extraction. The former is to resolve each incident energy component from the…

Materials Science · Physics 2015-03-19 K. Tomiyasu , M. Matsuura , H. Kimura , K. Iwasa , K. Ohoyama , T. Yokoo , S. Itoh , E. Kudoh , T. Sato , M. Fujita

The positron-hydrogen atom scattering system is considered within the S-wave model. Convergence in the elastic scattering, excitation, ionization, and positronium formation channels is studied as a function of the number and type of states…

Atomic Physics · Physics 2009-10-31 Alisher S. Kadyrov , Igor Bray

All contemporary phenomenological models of elastic hadronic scattering have been based on the assumption of validity of optical theorem that was overtaken from optics. It has been stated that it may be proven in particle physics. However,…

Nuclear Theory · Physics 2015-02-03 Jiri Prochazka , Vojtech Kundrat , Milos V. Lokajicek

A test on the numerical accuracy of the semiclassical approximation as a function of the principal quantum number has been performed for the Pullen--Edmonds model, a two--dimensional, non--integrable, scaling invariant perturbation of the…

High Energy Physics - Theory · Physics 2009-09-25 S. Graffi , V. R. Manfredi , L. Salasnich
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