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We study the theory of scattering for a Schr"odinger equation in an external time dependent magnetic field in the Coulomb gauge, in space dimension 3. The magnetic vector potential is assumed to satisfy decay properties in time that are…

Analysis of PDEs · Mathematics 2007-05-23 J. Ginibre , G. Velo

Starting with Maxwell's equations, we derive the fundamental results of the Huygens-Fresnel-Kirchhoff and Rayleigh-Sommerfeld theories of scalar diffraction and scattering. These results are then extended to cover the case of vector…

Optics · Physics 2020-09-16 Masud Mansuripur

This paper describes how coherent backscattering is altered by an external magnetic field. In the theory presented, magneto-optical effects occur inside Mie scatterers embedded in a non-magnetic medium. Unlike previous theories based on…

Mesoscale and Nanoscale Physics · Physics 2011-03-07 D. Lacoste , B. A. van Tiggelen

We consider the scattering theory for the Schr\"odinger operator $-\Dc_x^2+V(x)$ on graphs made of one-dimensional wires connected to external leads. We derive two expressions for the scattering matrix on arbitrary graphs. One involves…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Christophe Texier , Gilles Montambaux

Resonant-exchange scattering plays a key role in many-body dynamics and transport phenomena (such as spin, charge, or excitation diffusion) at low and moderate temperatures. Recent investigations have shown that the locking of phase shifts…

Quantum Physics · Physics 2025-08-14 I. Simbotin , R. Côté

Theories with both electric and magnetic charges ("mutually non-local" theories) have several major obstacles to calculating scattering amplitudes. Even when the interaction arises through the kinetic mixing of two, otherwise independent,…

High Energy Physics - Theory · Physics 2021-01-01 John Terning , Christopher B. Verhaaren

Theoretical proposals of scaling laws for the differential elastic scattering cross sections of protons are confronted with experimental data over a wide energy range. Different combinations of the transferred momentum and energy resulting…

High Energy Physics - Phenomenology · Physics 2015-06-12 I. M. Dremin , V. A. Nechitailo

The theory of scattering of atom pairs in a periodic potential is presented for the case of different atoms. When the scattering dynamics is restricted to the lowest Bloch band of the periodic potential, a separation in relative and average…

Other Condensed Matter · Physics 2009-11-13 R. T. Piil , N. Nygaard , K. Molmer

The differential cross section for scattering of a Dirac particle in a black hole background is found. The result is the gravitational analog of the Mott formula for scattering in a Coulomb background. The equivalence principle is neatly…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Chris Doran , Anthony Lasenby

The analytic expression for the cross section of low-energy electron scattering in a strong Coulomb field is obtained. It is shown that in a wide energy region this cross section differs essentially from that obtained in the first Born…

Atomic Physics · Physics 2007-05-23 A. I. Milstein , I. S. Terekhov

The scattering cross sections of the unpolarized electromagnetic and gravitational waves are shown to be equal for the extreme Reissner-Nordstr\"om black hole using $N=2$ supergravity. The conversion cross sections between the unpolarized…

General Relativity and Quantum Cosmology · Physics 2015-11-04 Luís C. B. Crispino , Sam R. Dolan , Atsushi Higuchi , Ednilton S. de Oliveira

We present a scattering theory description for the inelastic current noise in the presence of electron-vibration interactions. In this description, we specify elastic and inelastic scattering contributions to the shot noise by examining…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Sejoong Kim

Elastic lepton scattering off of a nucleon has proved to be an efficient tool to study the structure of the hadron. Modern cross section and asymmetry measurements at Jefferson Lab require effects beyond the leading order Born approximation…

High Energy Physics - Phenomenology · Physics 2018-07-18 Oleksandr Koshchii , Andrei Afanasev

We study electron transport through a semiconductor quantum ring with one input and two output terminals for an elastic scatterer present within one of the arms of the ring. We demonstrate that the scatterer not only introduces asymmetry in…

Mesoscale and Nanoscale Physics · Physics 2010-04-14 B. Szafran , M. R. Poniedzialek

The differential cross section for gamma-deuteron Compton scattering from a tensor polarized deuteron is computed in an effective field theory. The first non-vanishing contributions to this differential cross section are the interference…

Nuclear Theory · Physics 2009-10-31 Jiunn-Wei Chen

The influence of strong internal forces on photon-assisted scattering and on the displacement mechanism of magnetoconductivity oscillations in a two-dimensional (2D) electron gas is theoretically studied. The theory is applied to the highly…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 Yuriy P. Monarkha

We study the electron scatter from the freely movable spin-$\frac{1}{2}$ particle in the presence of a linearly polarized laser field in the first Born approximation. The dressed state of electrons is described by a time-dependent wave…

Atomic Physics · Physics 2014-09-19 Ai-Hua Liu , Shu-Min Li

The partial differential equation for the imaginary part of the elastic scattering amplitude is derived. It is solved in the black disk limit. The asymptotical scaling behavior of the amplitude coinciding with the geometrical scaling is…

High Energy Physics - Phenomenology · Physics 2015-06-11 I. M. Dremin , A. A. Radovskaya

The general structure of the cross section of $\gamma N$ scattering with polarized photon and/or nucleon in initial and/or final state is systematically described and exposed through invariant amplitudes. A low-energy expansion of the cross…

High Energy Physics - Phenomenology · Physics 2009-09-25 D. Babusci , G. Giordano , A. I. L'vov , G. Matone , A. M. Nathan

The Thompson cross section for scattering of electromagnetic waves by a free electron in an expanding universe is derived here. The equations of motion of the electron are obtained using the Einstein-Infeld-Hoffmann (EIH) surface integral…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James L. Anderson