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We have adapted R-matrix theory to calculate phonon scattering across systems of molecular to mesoscopic scale. The key novelty of this work is that the only required information about the scattering region are its normal modes, which are…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 K. G. S. H. Gunawardana , Kieran Mullen

Between many prominent contributions of Markus Buttiker to mesoscopic physics, the scattering theory approach to the electron transport and noise stands out for its elegance, simplicity, universality, and popularity between theorists…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Eugene V. Sukhorukov

Owing to recent advances in laser technology, it has become important to investigate fundamental laser-assisted processes in very powerful laser fields. In the present work and within the framework of laser-assisted quantum electrodynamics…

Quantum Physics · Physics 2021-09-01 I Dahiri , M Jakha , S Mouslih , B Manaut , S Taj

In this work we present a method for generating random matrices describing electromagnetic scattering from disordered media containing dielectric particles with prescribed single particle scattering characteristics. Resulting scattering…

Optics · Physics 2022-12-15 Niall Byrnes , Matthew R. Foreman

General expressions for all parity-conserving polarization observables of elastic electron-nucleon scattering in the one-photon exchange approximation are derived for a general frame of reference, i.e.\ not assumming scattering off a…

Nuclear Theory · Physics 2019-05-15 H. Arenhövel

In this follow-up article to [Shadow poles in the alternative parametrization of R-matrix theory, Ducru (2020)], we establish new results on scattering matrix pole expansions for complex wavenumbers in R-matrix theory. In the past, two…

Nuclear Theory · Physics 2021-06-23 Pablo Ducru , Vladimir Sobes , Gerald Hale , Mark Paris , Benoit Forget

In the first Born approximation and using an elliptically polarized laser field, the Mott scattering of an electron by a Coulomb potential is investigated using the Dirac-Volkov states to describe the incident and scattered electrons. The…

Atomic Physics · Physics 2009-11-10 Y. Attaourti , B. Manaut , S. Taj

The eikonal approximation (EA) is widely used in various high-energy scattering problems. In this work we generalize this approximation from the scattering problems with time-independent Hamiltonian to the ones with periodical Hamiltonians,…

Quantum Physics · Physics 2024-09-10 Yaru Liu , Peng Zhang

The non-localized cluster model provides a new perspective on nuclear cluster effects and has been applied successfully to study cluster structures in various bound states and quasi-bound states (i.e., long-lived resonant states). In this…

Nuclear Theory · Physics 2020-04-22 Dong Bai , Zhongzhou Ren

We formulate a theory of nonrelativistic scattering in one dimension based on the J-matrix method. The scattering potential is assumed to have a finite range such that it is well represented by its matrix elements in a finite subset of a…

Mathematical Physics · Physics 2015-05-18 A. D. Alhaidari , H. Bahlouli , M. S. Abdelmonem

We derive a generalized Low equation for the T-matrix appropriate for complex atom-molecule interaction. The properties of this new equation at very low energies are studied and the complex scattering length and effective range are derived.

Atomic Physics · Physics 2009-11-06 M. S. Hussein

Experiments are starting to probe collisions and chemical reactions between atoms and molecules at ultra-low temperatures. We have developed a new theoretical procedure for studying these collisions using the R-matrix method. Here this…

Chemical Physics · Physics 2018-10-09 Tom Rivlin , Laura K. McKemmish , Jonathan Tennyson

We evaluate the joint distributions of electron waiting times in coherent conductors described by scattering theory. Successive electron waiting times in a single-channel conductor are found to be correlated due to the fermionic statistics…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 David Dasenbrook , Patrick P. Hofer , Christian Flindt

The polarization of radiation by scattering on an atom embedded in combined external quadrupole electric and uniform magnetic fields is studied theoretically. Limiting cases of scattering under Zeeman effect and Hanle effect in weak…

Astrophysics · Physics 2015-06-24 Yee Yee Oo , M. Sampoorna , K. N. Nagendra , Sharath Ananthamurthy , G. Ramachandran

In this work, the transition matrix elements for inelastic electron--electron scattering are investigated. The angular part is given by spherical harmonics. For the weighted radial wave function overlap, analytic expressions are derived in…

Materials Science · Physics 2013-04-09 Stefan Löffler , Peter Schattschneider

In order to model the phase-coherent scattering of electrons in two-dimensional electron gases in the presence of Rashba spin-orbit coupling, a general partial-wave expansion is developed for scattering from a cylindrically symmetric…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jamie D. Walls , Jian Huang , Robert M. Westervelt , Eric J. Heller

Fractional photon-assisted tunnelling is investigated both numerically and analytically in a double-well lattice. While integer photon-assisted tunnelling is a single-particle effect, fractional photon-assisted tunnelling is an…

Quantum Gases · Physics 2012-02-02 Martin Esmann , Jonathan D. Pritchard , Christoph Weiss

In this paper, based on the analysis of the formula (2.2) for calculating the elastic scattering diagrams of microparticles on a multilayer crystal surface, derived by the author in the article [3], it is shown that the stochastic approach…

General Physics · Physics 2021-10-04 Mikhail Batanov-Gaukhman

The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

Atomic Physics · Physics 2022-09-20 A. S. Baltenkov , I. Woiciechowski

Color transparency CT depends on the formation of a wavepacket of small spatial extent. It is useful to interpret experimental searches for CT with a multiple scattering scattering series based on wavepacket-nucleon scattering instead of…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. R. Greenberg , G. A. Miller