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In scattering theory, the squared relative wave function $|\phi({\bf q},{\bf r})|^2$ is often interpreted as a weight, due to final-state interactions, describing the probability enhancement for emission with asymptotic relative momentum…

Nuclear Theory · Physics 2008-11-26 Scott Pratt

Decays into three particles are often described in terms of two-body resonances and a non-interacting spectator particle. To go beyond this simplest isobar model, crossed-channel rescattering effects need to be accounted for. We quantify…

High Energy Physics - Phenomenology · Physics 2023-07-05 Dominik Stamen , Tobias Isken , Bastian Kubis , Mikhail Mikhasenko , Malwin Niehus

The Efimov effect in heteronuclear cold atomic systems is experimentally more easily accessible than the Efimov effect for identical atoms, because of the potentially smaller scaling factor. We focus on the case of two or three heavy…

Quantum Gases · Physics 2017-04-05 Christiane H. Schmickler , Hans-Werner Hammer , Emiko Hiyama

Counting statistics of charge transfers in a point contact interacting with an arbitrary quantum system is studied. The theory for the charge specific density matrix is developed, allowing the evaluation of the probability of the outcome of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Rammer , A. L. Shelankov , J. Wabnig

Effects of final state interaction on asymmetries in inclusive scattering of polarized electrons on polarized 3He are investigated using consistent 3He bound state wave function and 3N continuum scattering states. Significant effects are…

Nuclear Theory · Physics 2008-11-26 S. Ishikawa , J. Golak , H. Witala , H. Kamada , W. Gloeckle

The Schr\"odinger equation for two and tree-body problems is solved for scattering states in a hybrid representation where solutions are expanded in the eigenstates of the harmonic oscillator in the interaction region and on a finite…

Computational Physics · Physics 2015-03-19 Yuriy Bidasyuk , Wim Vanroose

The state-dependent diffusion, which concerns the Brownian motion of a particle in inhomogeneous media has been described phenomenologically in a number of ways. Based on a system-reservoir nonlinear coupling model we present a microscopic…

Statistical Mechanics · Physics 2007-05-23 Debashis Barik , Deb Shankar Ray

We present a new formulation of effective field theory for nucleon-nucleon (NN) interactions which treats pion interactions perturbatively, and we offer evidence that the expansion converges satisfactorily to third order in the expansion,…

Nuclear Theory · Physics 2010-04-14 Silas R. Beane , David B. Kaplan , Aleksi Vuorinen

I review recent progress in calculating scattering amplitudes and resonance properties involving three particles using results from lattice QCD. The necessary input is the finite-volume spectrum, and the outputs -- via solutions of integral…

High Energy Physics - Lattice · Physics 2026-01-14 Stephen R. Sharpe

A new approach to multi-dimensional quantum scattering by the infinite order discrete variable representation is presented. Determining the expansion coefficients of the wave function at the asymptotic regions by the solution of the…

Atomic Physics · Physics 2007-05-23 Nark Nyul Choi , Min-Ho Lee , Sung Ho Suck Salk

These lectures contain a theoretical introduction to the few-body problem with short-range resonant binary interactions. In the first part we discuss the effective range expansion for the two-body scattering amplitude emphasizing the role…

Quantum Gases · Physics 2015-03-20 D. S. Petrov

Two integral relations derived from the Kohn Variational Principle (KVP) are used for describing scattering states. In usual applications the KVP requires the explicit form of the asymptotic behavior of the scattering wave function. This is…

Nuclear Theory · Physics 2015-05-18 A. Kievsky , M. Viviani , P. Barletta , C. Romero-Redondo , E. Garrido

A quantum theory of dispersion for an inhomogeneous solid is obtained, from a starting point of multipolar coupled atoms interacting with an electromagnetic field. The dispersion relations obtained are equivalent to the standard classical…

Quantum Physics · Physics 2009-10-31 P. D. Drummond , M. Hillery

Recently developed time-independent bound-state perturbation theory is extended to treat the scattering domain. The changes in the partial wave phase shifts are derived explicitly and the results are compared with those of other methods.

Nuclear Theory · Physics 2009-11-11 B. Gonul , M. Kocak

We present a systematic treatment of scattering processes for quantum systems whose time evolution is discrete. We define and show some general properties of the scattering operator, in particular the conservation of quasi-energy which is…

Quantum Physics · Physics 2021-06-28 Alessandro Bisio , Nicola Mosco , Paolo Perinotti

This paper is concerned with a numerical solution to the scattering of a time-harmonic electromagnetic wave by a bounded and impenetrable obstacle in three dimensions. The electromagnetic wave propagation is modeled by a boundary value…

Numerical Analysis · Mathematics 2022-02-21 Gang Bao , Mingming Zhang , Xue Jiang , Peijun Li , Xiaokai Yuan

We analyze pure Coulomb high-energy elastic scattering of charged particles (hadrons or nuclei), discarding their strong interactions. We distinguish three scattering modes, determined by the magnitude of the momentum transfer, in which…

High Energy Physics - Phenomenology · Physics 2025-03-14 M. L. Nekrasov

We assess the importance of final state interactions in $D^+ \rar K^- \p^+ \p^+$, stressing the consistency between two- and three-body interactions. The basic building block in the calculation is a $K\pi$ amplitude based on unitarized…

Atomic ensembles have shown to be a promising candidate for implementations of quantum information processing by many recently-discovered schemes. All these schemes are based on the interaction between optical beams and atomic ensembles.…

Quantum Physics · Physics 2009-11-07 L. -M. Duan , J. I. Cirac , P. Zoller

Solutions of quaternionic quantum mechanics (QQM) are difficult to grasp, even in simple physical situations. In this article, we provide simple and understandable free particle quaternionic solutions, that can be easily compared to complex…

Quantum Physics · Physics 2019-08-28 Sergio Giardino
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