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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

In view of immense interest to understand impact of an electron on atoms in the low-energy scattering phenomena observed in laboratories and astrophysical processes, we prescribe here an approach to construct potentials using relativistic…

Atomic Physics · Physics 2022-09-02 B. K. Sahoo

The Complex Kohn variational method for electron-polyatomic molecule scattering is formulated using an overset grid representation of the scattering wave function. The overset grid consists of a central grid and multiple dense,…

Chemical Physics · Physics 2017-12-06 Loren Greenman , Robert R. Lucchese , C. William McCurdy

The inclusive electromagnetic responses in the quasi-elastic region are calculated with a model which considers the terms of the cluster expansion containinga single correlation line. The validity of this model is studied by comparing, in…

Nuclear Theory · Physics 2007-05-23 J. E. Amaro , F. Arias de Saavedra , A. M. Lallena , G. Co' , A. Fabrocini , S. Rashad

In this work we devise a theoretical and computational method to compute the elastic scattering of electrons from a non-spherical potential, such as in the case of molecules and molecular aggregates. Its main feature is represented by the…

Chemical Physics · Physics 2023-01-18 Francesca Triggiani , Tommaso Morresi , Simone Taioli , Stefano Simonucci

The elastic scattering of twisted electrons by neutral atoms is studied within the fully relativistic framework. The electron-atom interaction is taken into account in all orders, thus allowing us to explore high-order effects beyond the…

Atomic Physics · Physics 2018-09-12 V. P. Kosheleva , V. A. Zaytsev , A. Surzhykov , V. M. Shabaev , Th. Stöhlker

Elastic scattering of a twisted (Bessel) electron beam by CO$_2$ molecules is studied theoretically at high energies. The molecule's structure is optimized using coupled cluster theory and density functional theory with…

Quantum Physics · Physics 2026-04-20 Raul Sheldon Pinto , Rakesh Choubisa

A multi-channel scattering problem is studied from a point of view of integral equations system. The system appears while natural one-particle wave function equation of the electron under action of a potential with non-intersecting ranges…

Quantum Physics · Physics 2016-09-08 Sergey Leble , Sergey Yalunin

The scattering of electromagnetic waves by an obstacle is analyzed through a set of partial differential equations combining the Maxwell's model with the mechanics of fluids. Solitary type EM waves, having compact support, may easily be…

Computational Physics · Physics 2018-03-28 Daniele Funaro , Eugene Kashdan

We present a theoretical approach to investigate the scattering of polarized electrons from light nuclei using the multipole expansion for the scattering cross section within the framework of the unified electroweak theory. Scattering…

Nuclear Theory · Physics 2026-05-01 Minh Truong Vo , Vu Dong Tran , Quang Hung Nguyen

The Lorenz--Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance $\gamma$.…

Optics · Physics 2020-03-31 Akhlesh Lakhtakia , Tom G. Mackay

We present a model of non-ionizing scattering of electrons on atomic ensemble in matter, applicable in a wide electron energy range from ~eV up to relativistic ones. The approach based on the dynamic-structure factor formalism considers…

Other Condensed Matter · Physics 2025-04-17 N. Medvedev , D. I. Zainutdinov , A. E. Volkov

An improved model of the multiple Dirac eikonal scattering of proton on nucleons of the target nucleus is considered. In this model, the amplitudes of elastic $p-A$ scattering are found on the basis of the Watson series of multiple…

Nuclear Theory · Physics 2020-12-04 V. V. Pilipenko , V. I. Kuprikov

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is considered, when the size…

Mathematical Physics · Physics 2011-05-10 Alexander G. Ramm

Inelastic scattering of electrons incident on a solid surface is determined by the two properties: (i) electronic response of the target system and (ii) the detailed quantum-mechanical motion of the projectile electron inside and in the…

Materials Science · Physics 2016-01-06 V. U. Nazarov , V. M. Silkin , E. E. Krasovskii

Inspired by the problem of elastic wave scattering on wrinkled interfaces, we studied the scattering of ballistic electrons on a wrinkled potential energy region. The electron transmission coefficient depends on both wrinkle amplitude and…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 T. L. Mitran , G. A. Nemnes , L. Ion , Daniela Dragoman

Laser photons carrying non-zero orbital angular momentum are known and exploited during the last twenty years. Recently it has been demonstrated experimentally that such (twisted) electrons can be produced and even focused to a subnanometer…

Quantum Physics · Physics 2016-09-15 D. V. Karlovets , G. L. Kotkin , V. G. Serbo

An ion and a polar molecule interact by an anisotropic ion-dipole potential scaling as $- \alpha \cos (\theta)/r^2$ at large distances. Due to its long-range character, it modifies the properties of angular wave functions, which are no…

Atomic Physics · Physics 2021-03-03 Tomasz Wasak , Zbigniew Idziaszek

Existence of different types of interference in the spectrum of radiation emitted by a doubly hard scattered electron is demonstrated. The spectrum develops oscillations in two regions: the hard, where the oscillations depend on the…

Accelerator Physics · Physics 2017-04-05 M. V. Bondarenco , N. F. Shul'ga

The Mott scattering of high-energetic twisted electrons by atoms is investigated within the framework of the first Born approximation and Dirac's relativistic equation. Special emphasis is placed on the angular distribution and longitudinal…

Atomic Physics · Physics 2015-05-12 V. Serbo , I. P. Ivanov , S. Fritzsche , D. Seipt , A. Surzhykov