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Scattering of a scalar particle on a crystalline plane with quadratic cell and identical fixed scatterers is solved precisely. Contradiction of the standard scattering theory is pointed out.

General Physics · Physics 2013-08-07 V. K. Ignatovich

We consider classical hard-core particles moving on two parallel chains in the same direction. An interaction between the channels is included via the hopping rates. For a ring, the stationary state has a product form. For the case of…

Statistical Mechanics · Physics 2011-07-13 Vladislav Popkov , Ingo Peschel

We present the first lattice QCD study of coupled-channel $D\pi$, $D\eta$ and $D_{s}\bar{K}$ scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable…

High Energy Physics - Lattice · Physics 2016-10-13 Graham Moir , Michael Peardon , Sinéad M. Ryan , Christopher E. Thomas , David J. Wilson

The Complex Scaling Method (CSM) provides scattering wave functions which regularize resonances and suggest a resolution of the identity in terms of such resonances, completed by the bound states and a smoothed continuum. But, in the case…

Nuclear Theory · Physics 2008-11-26 B. G. Giraud , K. Kato , A. Ohnishi

We use a density functional theoretical approach to calculate the pair distribution function and the effective interactions in homogeneous fluids of spinless charged bosons. The scheme involves the self-consistent solution of a two-particle…

Soft Condensed Matter · Physics 2009-11-07 B. Davoudi , R. Asgari , M. Polini , M. P. Tosi

In this work we study the scattering of pairs of photons by a two-level system ultrastrongly coupled to a one-dimensional waveguide. We describe this problem using a spin-boson model with an Ohmic environment $J(\omega)=\pi\alpha\omega^1.$…

Quantum Physics · Physics 2018-10-22 Vanessa Paulisch , Tao Shi , Juan Jose Garcia-Ripoll

A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for $\alpha$+nucleus systems to find spectra of the compound systems. Low energy spectra for ${}^{12}$C, ${}^{16}$O, and…

Nuclear Theory · Physics 2016-05-11 K. Amos , L. Canton , P. R. Fraser , S. Karataglidis , J. P. Svenne , D. van der Knijff

The present paper generalizes preceding papers of the author and opens a cycle of works concerning the general posing and solution in analytic form of the quantum-mechanical inverse scattering problem (for a given partial channel) in a…

Nuclear Theory · Physics 2007-05-23 V. M. Muzafarov

We consider time-harmonic electromagnetic scattering problems on perfectly conducting scatterers with uncertain shape. Thus, the scattered field will also be uncertain. Based on the knowledge of the two-point correlation of the domain…

Numerical Analysis · Mathematics 2019-07-15 Jürgen Dölz

We investigate the scattering problem of a two-particle composite system on a delta-function potential. Using the time independent scattering theory, we study how the transmission/reflection coefficients change with the height of external…

Quantum Physics · Physics 2017-01-26 Tieling Song , Wei Zhu , D. L. Zhou

We write explicitly a transformation of the scattering phases reducing the problem of quantum chaotic scattering for systems with M statistically equivalent channels at nonideal coupling to that for ideal coupling. Unfolding the phases by…

Disordered Systems and Neural Networks · Physics 2008-12-18 Dmitry V. Savin , Yan V. Fyodorov , Hans-Juergen Sommers

A prevalent problem in general state space models is the approximation of the smoothing distribution of a state conditional on the observations from the past, the present, and the future. The aim of this paper is to provide a rigorous…

Statistics Theory · Mathematics 2016-05-30 Thi Ngoc Minh Nguyen , Sylvain Le Corff , Eric Moulines

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. Previous nuclear lattice effective field theory simulations were restricted to mixing of up to…

Nuclear Theory · Physics 2019-12-12 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

This paper explores the connections between particle scattering and quantum information theory in the context of the non-relativistic, elastic scattering of two spin-1/2 particles. An untangled, pure, two-particle in-state is evolved by an…

Quantum Physics · Physics 2009-11-11 N. L. Harshman

We provide an exact solution of the scattering problem for the potentials of the form $v(x,y)=\chi_a(x)[v_0(x)+ v_1(x)e^{i\alpha y}]$, where $\chi_a(x):=1$ for $x\in[0,a]$, $\chi_a(x):=0$ for $x\notin[0,a]$, $v_j(x)$ are real or…

Quantum Physics · Physics 2018-01-03 Farhang Loran , Ali Mostafazadeh

A revised formula for the inclusive cross section for double parton scattering in terms of the modified collinear two-parton distributions extracted from deep inelastic scattering is suggested. The possible phenomenological issues are…

High Energy Physics - Phenomenology · Physics 2015-03-19 M. G. Ryskin , A. M. Snigirev

The issue of photon spin Hall effect was generalized as a universal question of how to control all the scattering waves in a multi-channel structure (complete control). A general theory was proposed, which provides a simple way to achieve…

Optics · Physics 2021-10-14 Qi Gao , Yun-Song Zhou , Li-Ming Zhao

We study a simple 2-d model representing two fields with different mass and a 3-point coupling term. The phase shift in the resonating 2-particle channel is determined from the energy spectrum obtained in Monte Carlo simulations on finite…

High Energy Physics - Lattice · Physics 2009-10-22 C. R. Gattringer , C. B. Lang

The synthesis of non-magnetic 2D dielectric cloaks as proper solutions of an inverse scattering problem is addressed in this paper. Adopting the relevant integral formulation governing the scattering phenomena, analytic and numerical…

Classical Physics · Physics 2017-06-29 Loreto Di Donato , Tommaso Isernia , Giuseppe Labate , Ladislau Matekovits

Dual scattering channel schemes extend the transmission line matrix numerical method (JOHNS' TLM algorithm) in two directions. For one point, transmission line links are replaced by abstract scattering channels in terms of paired…

Numerical Analysis · Mathematics 2025-10-20 Steffen Hein
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