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Related papers: Exact solutions for N-magnon scattering

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We prove the existence of scattering solutions for multidimensional magnetic Schr\"odinger equation which belong to the weighted Sobolev space H^1_s (R^n)(n=2,3) with some s < -1/2. As a consequence of this we formulate the direct Born…

Mathematical Physics · Physics 2013-03-25 Valery Serov , Jan Sandhu

The handbag mechanism for wide-angle exclusive scattering reactions is discussed and compared to other theoretical approaches. The role of power laws in observables is critically examined. Applications of the handbag mechanism to Compton…

High Energy Physics - Phenomenology · Physics 2025-01-22 P. Kroll

Full-wave electromagnetic simulations of electrically large arrays of complex antennas and scatterers are challenging, as they consume large amount of memory and require long CPU times. This paper presents a new reduced-order modeling…

Computational Engineering, Finance, and Science · Computer Science 2018-12-05 Utkarsh R. Patel , Piero Triverio , Sean V. Hum

In a previous work[1] exact stable oblique soliton solutions were revealed in two dimensional nonlinear Schroedinger flow. In this work we show that single soliton solution can be expressed within the Hirota bilinear formalism. An attempt…

Pattern Formation and Solitons · Physics 2012-07-03 E. G. Khamis , A. Gammal

Formalism based on complex-scaling method is developed for solving the few particle scattering problem by employing only trivial boundary conditions. Several applications are presented proving efficiency of the method in describing elastic…

Nuclear Theory · Physics 2015-03-19 Rimantas Lazauskas , Jaume Carbonell

We study giant magnon solutions in AdS4 \times CP3. We compute quantum corrections to their dispersion relation. We find out that the one--loop correction vanishes in infinite volume. This implies that the interpolating function h(\lambda)…

High Energy Physics - Theory · Physics 2008-09-17 Igor Shenderovich

We demonstrate the validity of the complex scaling method for realistic strong, non-local, nucleon- nucleon interactions by comparing the deuteron bound state and nucleon-nucleon scattering phase shifts with results from other…

Nuclear Theory · Physics 2015-03-05 G. Papadimitriou , J. P. Vary

In three dimensional scattering, the energy continuum wavefunction is obtained by utilizing two independent solutions of the reference wave equation. One of them is typically singular (usually, near the origin of configuration space). Both…

Quantum Physics · Physics 2007-05-23 A. D. Alhaidari , H. Bahlouli , M. S. Abdelmonem , F. S. Al-Ameen , T. H. Al-Abdulaal

Employing a simple, straightforward Darboux transformation we construct exact N-soliton solution for anisotropic spin chain driven by a external magnetic field in linear wave background. As a special case the explicit one- and two-soliton…

Other Condensed Matter · Physics 2015-06-25 Qiu-Yan Li , Zheng-Wei Xie , Lu Li , Z. D. Li , J. Q. Liang

The differential and total cross sections for the scattering of muonic, pionic, kaonic and antiprotonic hydrogen in excited states from atomic hydrogen have been calculated for the purpose of atomic cascade calculations. The scattering…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. S. Jensen , V. E. Markushin

Recently it was shown that kink baryons and kink-antikink scattering in the massless Gross-Neveu model are closely related to one- and two-soliton solutions of the sinh-Gordon equation. Here we generalize these findings to the case of n…

High Energy Physics - Theory · Physics 2011-04-22 Christian Fitzner , Michael Thies

We measure the mode-resolved direction of the precessional motion of the magnetic order, i.e., magnon polarization, via the chiral term of inelastic polarized neutron scattering spectra. The magnon polarisation is important in spintronics,…

A remarkable consequence of the AdS/CFT correspondence is the nonperturbative derivation of dimensional counting rules for hard scattering processes. Using string/gauge duality we derive the QCD power behavior of light-front Fock-state…

High Energy Physics - Theory · Physics 2009-07-09 S. J. Brodsky , G. F. de Teramond

An iterative algorithm is adopted to construct approximate representations of matrices describing the scattering properties of arbitrary objects. The method is based on the implicit evaluation of scattering responses from iteratively…

Computational Physics · Physics 2023-04-19 Johan Lundgren , Kurt Schab , Miloslav Capek , Mats Gustafsson , Lukas Jelinek

A systematic method is presented to provide various equivalent solution formulas for exact solutions to the sine-Gordon equation. Such solutions are analytic in the spatial variable $x$ and the temporal variable $t,$ and they are…

Exactly Solvable and Integrable Systems · Physics 2011-06-16 Tuncay Aktosun , Francesco Demontis , Cornelis van der Mee

We present an elementary derivation of the soliton-like solutions in the $A_n^{(1)}$ Toda models which is alternative to the previously used Hirota method. The solutions of the underlying linear problem corresponding to the N-solitons are…

High Energy Physics - Theory · Physics 2009-10-30 H. Belich , R. Paunov

Solving the radiative transfer equation with the discrete ordinates (S$_N$) method leads to a non-physical imprint of the chosen quadrature set on the solution. To mitigate these so-called ray effects, we propose a modification of the S$_N$…

Numerical Analysis · Mathematics 2019-11-22 Martin Frank , Jonas Kusch , Thomas Camminady , Cory D. Hauck

Predicting the optical response of macroscopic arrangements of individual scatterers is a computational challenge, as the problem involves length scales across multiple orders of magnitude. We present a full-wave optical method to highly…

This paper presents a computation method of generalized scattering matrix (GSM) based on integral equations and the method of moments (MoM), specifically designed for antennas excited through waveguide ports. By leveraging two distinct…

Signal Processing · Electrical Eng. & Systems 2025-07-18 Chenbo Shi , Jin Pan , Xin Gu , Shichen Liang , Le Zuo

We discuss the integrability of the Bosonic and Grassmannian massive Thirring models in the presence of defects through the inverse scattering approach. We present a general method to compute the generating functions of modified conserved…

Mathematical Physics · Physics 2015-06-03 A. R. Aguirre