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In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite…

Mathematical Physics · Physics 2008-11-26 H. Gottschalk

We study scattering of noncommutative solitons in 2+1 dimensional scalar field theory. In particular, we investigate a system of two solitons with level n and n' (the (n,n')-system) in the large noncommutativity limit. We show that the…

High Energy Physics - Theory · Physics 2009-11-07 Takeo Araki , Katsushi Ito

We present a one-dimensional scattering theory which enables us to describe a wealth of effects arising from the coupling of the motional degree of freedom of scatterers to the electromagnetic field. Multiple scattering to all orders is…

Quantum Physics · Physics 2009-05-07 André Xuereb , Peter Domokos , János Asbóth , Peter Horak , Tim Freegarde

We consider the problem of existence of asymptotic observables in local relativistic theories of massive particles. Let $\ti p_1$ and $\ti p_2$ be two energy-momentum vectors of a massive particle and let $\De$ be a small neighbourhood of…

Mathematical Physics · Physics 2015-06-12 Wojciech Dybalski , Christian Gérard

A quantum scattering theory is developed for Fock states scattered by two-level systems in the free space. Compared to existing scattering theories that treat incident light semi-classically, the theory fully quantizes the incident light as…

Optics · Physics 2016-09-21 Jingfeng Liu , Ming Zhou , Zongfu Yu

A Haag-Ruelle scattering theory for particles with braid group statistics is developed, and the arising structure of the Hilbert space of multiparticle states is analyzed.

High Energy Physics - Theory · Physics 2015-06-26 K. Fredenhagen , M. R. Gaberdiel , S. M. Rueger

In the abelian Higgs model, among other situations, it has recently been realized that the head-on scattering of $n$ solitons distributed symmetrically around the point of scattering is by an angle $\pi/n$, independant of various details of…

High Energy Physics - Theory · Physics 2009-10-28 R. MacKenzie

Within the framework of local quantum physics we construct a scattering theory of stable, massive particles without assuming mass gaps. This extension of the Haag-Ruelle theory is based on advances in the harmonic analysis of local…

High Energy Physics - Theory · Physics 2009-11-10 Wojciech Dybalski

A potential scattering theory from deterministic and random $\mathcal{PT}$ collections of particles with gain and loss is introduced and the forms of their structure and pair-structure factors are elucidated. An example relating to light…

Optics · Physics 2021-04-07 Olga Korotkova , Paulo A. Brandão

Multi-particle scattering states are constructed for massive Wigner particles in the general operator-algebraic setting of wedge-local quantum field theory. The apparent geometrical restriction of the conventional wedge-local Haag-Ruelle…

Mathematical Physics · Physics 2018-08-15 Maximilian Duell

We study solitons in three dimensional non-commutative scalar field theory at infinite non-commutativity parameter. We find the metric on the relative moduli space of all solitons of the form |n><n| and show that it is Kahler. We then find…

High Energy Physics - Theory · Physics 2009-10-31 Ulf Lindstrom , Martin Rocek , Rikard von Unge

We present a novel approximation method that can predict the number of solitons asymptotically appearing under arbitrary rapidly decreasing initial wave packets. The number of solitons can be estimated without integration of the original…

Exactly Solvable and Integrable Systems · Physics 2017-06-07 Hironobu Fujishima , Tetsu Yajima

The problem of the scattering of a charged test particle in the gravitational background of axially symmetrical wormhole in the presence of the Aharonov-Bohm type magnetic field is considered. It is shown that the natural mathematical…

High Energy Physics - Theory · Physics 2007-05-23 Egor Bugrij , Alexei Mishchenko , Yurii Sitenko

With the help of numerical simulations we study N-soliton scattering (N=3,4) in the (2+1)-dimensional CP^1 model with periodic boundary conditions. When the solitons are scattered from symmetrical configurations the scattering angles…

High Energy Physics - Theory · Physics 2008-11-26 R. J. Cova , W. J. Zakrzewski

We develop a general formalism for computing classical observables for relativistic scattering of spinning particles, directly from on-shell amplitudes. We then apply this formalism to minimally coupled Einstein-gravity amplitudes for the…

High Energy Physics - Theory · Physics 2020-01-29 Ben Maybee , Donal O'Connell , Justin Vines

We investigate numerically different techniques to extract scattering amplitudes from the Euclidean Lattice {\phi}4 theory with two fields, having different masses. We present an exploratory study of the recently proposed method by Bruno…

High Energy Physics - Lattice · Physics 2021-12-03 Marco Garofalo , Fernando Romero-López , Akaki Rusetsky , Carsten Urbach

Recently, in Quantum Field theory, there has been an interest in scattering in highly singular potentials. Here, solutions to the stationary Schroedinger equation are presented when the potential is a multiple of an arbitrary positive power…

Quantum Physics · Physics 2007-05-23 Elemer E Rosinger

In this work, we discuss the scattering theory of local, relativistic quantum fields with indefinite metric. Since the results of Haag--Ruelle theory do not carry over to the case of indefinite metric, we propose an axiomatic framework for…

Mathematical Physics · Physics 2009-11-11 S. Albeverio , H. Gottschalk

We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical…

Quantum Physics · Physics 2015-06-17 Ali Mostafazadeh

We consider deterministic self-propelled particles with anti-alignment interactions. An asymptotically exact kinetic theory for particle scattering at low densities is constructed by a non-local closure of the BBGKY-hierarchy, involving…

Statistical Mechanics · Physics 2023-03-07 Thomas Ihle , Rüdiger Kürsten , Benjamin Lindner
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