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We study the influence of electron-phonon coupling on electron transport through a Luttinger liquid with an embedded weak scatterer or weak link. We derive the renormalization group (RG) equations which indicate that the directions of RG…

Strongly Correlated Electrons · Physics 2011-08-04 Alexey Galda , Igor V. Yurkevich , Igor V. Lerner

We address local inelastic scattering from vibrational impurity adsorbed onto graphene and the evolution of the local density of electron states near the impurity from weak to strong coupling regime. For weak coupling the local electronic…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 J. Fransson , J. -H. She , L. Pietronero , A. V. Balatsky

Electron--proton scattering in elastic and highly inelastic region is reviewed in a unified approach. The importance of parity--violating scattering due to electro--weak interference in probing the structure of proton is emphasized. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fayyazuddin

Recurrent representations for an electron transmission and reflection amplitudes for a one-dimensional chain are obtained. The linear differential equations for scattering amplitudes of an arbitrary potential are found.

Condensed Matter · Physics 2009-10-31 David M. Sedrakian , Ashot Zh. Khachatrian

We consider the massless Nelson model with two types of massive particles which we call atoms and electrons. The atoms interact with photons via an infrared regular form-factor and thus they are Wigner-type particles with sharp mass-shells.…

Mathematical Physics · Physics 2020-12-22 Wojciech Dybalski , Alessandro Pizzo

We report a numerical analysis of Anderson localization in a model of a doped semiconductor. The model incorporates the disorder arising from the random spatial distribution of the donor impurities and takes account of the electron-electron…

Materials Science · Physics 2015-06-04 Yosuke Harashima , Keith Slevin

The differential cross section for elastic scattering of protons on electrons at rest is calculated taking into account the QED radiative corrections to the leptonic part of interaction. These model-independent radiative corrections arise…

High Energy Physics - Phenomenology · Physics 2017-06-28 G. I. Gakh , M. I. Konchatnij , N. P. Merenkov , Egle Tomasi-Gustafsson

In this paper, we investigate the elastic scattering of an electron by a Yukawa potential within the framework of non-commutative (NC) geometry. We first derive the NC correction to the Yukawa potential at leading order in the NC parameter,…

Quantum Physics · Physics 2025-05-30 Abdellah Touati

We study the energy relaxation of quasiparticles in voltage biased mesoscopic wires in presence of magnetic impurities. The renormalization of the exchange interaction of Kondo impurities coupled to conduction electrons is extended to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Georg Goeppert , Hermann Grabert

This paper considers the probability density and current distributions generated by a point-like, isotropic source of monoenergetic charges embedded into a uniform magnetic field environment. Electron sources of this kind have been realized…

Quantum Physics · Physics 2012-09-04 Christian Bracher , Arnulfo Gonzalez

In this paper we address the topic of inelastic electron scattering in mesoscopic quantum transport. For systems where only elastic scattering is present, Landauer theory provides an adequate description of transport that relates the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon G. Emberly , George Kirczenow

In this paper, we investigate well-posedness of time-harmonic scattering of elastic waves by unbounded rigid rough surfaces in three dimensions. The elastic scattering is caused by an $L^2$ function with a compact support in the…

Analysis of PDEs · Mathematics 2024-01-30 Guanghui Hu , Tianjiao Wang , Xiang Xu , Yue Zhao

General formulas describing the multiple scattering of electron by polyatomic molecules have been derived within the framework of the model of non-overlapping atomic potentials. These formulas are applied to different carbon molecules, both…

Atomic Physics · Physics 2018-09-27 A. S. Baltenkov , S. T. Manson , A. Z. Msezane

We construct two-electron scattering states and verify their tensor product structure in the infrared-regular massless Nelson model. The proof follows the lines of Haag-Ruelle scattering theory: Scattering state approximants are defined…

Mathematical Physics · Physics 2015-11-24 Wojciech Dybalski , Alessandro Pizzo

Elastic electron scattering is one of the primary means of investigating materials on the atomic scale. It is usually described by modeling the sample as a fixed, static, perturbative potential, thereby completely neglecting the quantum…

Quantum Physics · Physics 2025-10-21 Stefan Löffler , Peter Schattschneider

Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition, quantum Hall effect, light propagation in…

Chaotic Dynamics · Physics 2015-10-06 Sergej Flach

We develop a multidimensional coupled channel method suitable for studying the interplay of bound state resonance and phonon assisted scattering of inert gas atoms from solid surfaces in one, two and three dimensions. This enables us to get…

Statistical Mechanics · Physics 2009-11-11 A. Siber , B. Gumhalter

We calculate the leading order amplitude and probability for the elastic scattering of an elementary meson and a kink in the $\phi^4$ double-well model. Classically, the kink is reflectionless, and so the leading contribution arises at one…

High Energy Physics - Theory · Physics 2026-03-05 Kehinde Ogundipe , Bilguun Bayarsaikhan

We numerically study the expansion dynamics of ultracold atoms in a one-dimensional disordered potential in the presence of a weak position measurement of the atoms. We specifically consider this position measurement to be realized by a…

Quantum Gases · Physics 2015-06-05 Boris Nowak , Jami J. Kinnunen , Murray J. Holland , Peter Schlagheck

We study the elastic scattering time $\tau_\mathrm{s}$ of ultracold atoms propagating in optical disordered potentials in the strong scattering regime, going beyond the recent work of J. Richard \emph{et al.} \textit{Phys. Rev. Lett.}…