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Multiple-scattering approximations to Faddeev calculations of the K^- d scattering length are reviewed and compared with published Kbar-N-N <--> pi-Y-N fully reactive Faddeev calculations. A new multiple-scattering approximation which goes…

Nuclear Theory · Physics 2015-06-26 Avraham Gal

Scattering theory is a standard tool for the description of transport phenomena in mesoscopic systems. Here, we provide a detailed derivation of this method for nano-scale conductors that are driven by oscillating electric or magnetic…

Statistical Mechanics · Physics 2020-06-01 Kay Brandner

The paper derives the representation of the two-particle T-matrix scattering elements for the Coulomb interaction with respect to special bases without expansion in terms of partial waves. The results obtained are applicable to…

Mathematical Physics · Physics 2019-04-30 Robert Akhmetyanov , Elena Shikhovtseva

In view of its local character, the semiclassical or Boltzmann theory is intrinsically unable to describe transport phenomena on ultrashort space and time scales, and to this purpose genuine quantum-transport approaches are imperative. By…

Mesoscale and Nanoscale Physics · Physics 2014-02-13 Roberto Rosati , Fausto Rossi

The Shubnikov - de Haas effect in quasi-two-dimensional normal metals is studied. The interlayer conductivity is calculated using the Kubo formula. The electron scattering on short-range is considered in the self-consistent Born…

Statistical Mechanics · Physics 2009-11-07 P. D. Grigoriev

We investigate the conductivity of charge carriers confined to a two-dimensional system with the non-parabolic dispersion $k^N$ with $N$ being an arbitrary natural number. A delta-shaped scattering potential is assumed as the major source…

Mesoscale and Nanoscale Physics · Physics 2014-04-24 Bretislav Sopik , Janik Kailasvuori , Maxim Trushin

The present article proposes a rigorous derivation of the Boltzmann equation in the half-space. We show an analog of the Lanford's theorem in this domain, with specular reflection boundary condition, stating the convergence in the low…

Analysis of PDEs · Mathematics 2025-10-09 Théophile Dolmaire

The effect of scattering with non-zero impact parameters between consituents in relativistic heavy ion collisions is investigated. In solving the relativistic Boltzmann equation, the characteristic range of the collision kernel is varied…

In this talk I discuss the high energy asymptotics of QCD scattering, and its similarity to a reaction-diffusion process. I also discuss detailed numerical studies of the mean field approximation to this picture, i.e., the…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. Enberg

A new approach is described to the evaluation of the S-matrix in three-dimensional atom-diatom reactive quantum scattering theory. The theory is developed based on natural collision coordinates where progress along the reaction coordinate…

Chemical Physics · Physics 2007-05-23 Ashot S. Gevorkyan , Gabriel G. Balint-Kurti , Gunnar Nyman

Multicomponent-multiband fluxes of spim-charge carriers, whose components propagate mixed and synchronously, with \emph{a priori} nonzero incoming amplitudes, do not obey the standard unitarity condition on the scattering matrix for an…

Quantum Physics · Physics 2021-07-13 L. Diago-Cisneros , J. J. Flores-Godoy , G. Fernández-Anaya

The Wheeler-DeWitt equation for a class of Kantowski-Sachs like models is completely solved. The generalized models include the Kantowski-Sachs model with cosmological constant and pressureless dust. Likewise contained is a joined model…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Heinz-Dieter Conradi

A fast charged particle scattering on a single-wall carbon nanotube of zigzag type was considered. The differential cross sections of scattering on nanotubes of different spatial orientation with respect to the incident particles were…

Mesoscale and Nanoscale Physics · Physics 2025-12-12 Viktoriia Omelchenko

We consider the scattering matrix approach to quantum electron transport in meso- and nano-conductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and often is more efficient…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

We probe the accuracy limit of {\it ab initio} calculations of carrier mobilities in semiconductors, within the framework of the Boltzmann transport equation. By focusing on the paradigmatic case of silicon, we show that fully predictive…

Materials Science · Physics 2018-03-28 Samuel Ponce , Elena R. Margine , Feliciano Giustino

The present paper discusses the diffusion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our results apply for instance to the case of radiative transfer…

Analysis of PDEs · Mathematics 2015-03-23 Claude Bardos , Etienne Bernard , François Golse , Rémi Sentis

We develop a scattering theory to investigate the multi-photon transmission in a one-dimensional waveguide in the presence of quantum emitters. It is based on a path integral formalism, uses displacement transformations, and does not…

Quantum Physics · Physics 2015-11-25 Tao Shi , Darrick E. Chang , J. Ignacio Cirac

Scattering of electronic waves in square and triangular lattice half-planes by a step on the surface is analyzed using the nearest-neighbour tight binding approximation. The changes in lattice spacing and the transfer integral between…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Basant Lal Sharma

In this paper we suggest a new approach for the multichannel Coulomb scattering problem. The Schr\"{o}dinger equation for the problem is reformulated in the form of a set of inhomogeneous equations with a finite-range driving term. The…

Atomic Physics · Physics 2011-07-26 M. V. Volkov , S. L. Yakovlev , E. A. Yarevsky , N. Elander

The basics of focused transport as applied to solar energetic particles are reviewed, paying special attention to areas of common misconception. The micro-physics of charged particles interacting with slab turbulence are investigated to…

Space Physics · Physics 2020-12-15 J. P. van den Berg , R. D. Strauss , F. Effenberger
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