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Quantum stochastic operator equations are derived for inter-branch exciton and polariton processes caused by acoustic phonon scattering. The use of a fully quantum model combined with these recently developed techniques predicts the…

Condensed Matter · Physics 2007-05-23 P. Kinsler

We have shown that the wave scattering by a soliton occurs in a peculiar way. The nonlinear interaction leads to the generation of waves with frequencies that are multiples of the frequency of the incident wave, minus the frequency of the…

Pattern Formation and Solitons · Physics 2023-12-12 A. S. Dmitriev , E. A. Dmitrieva , A. G. Panin

Two-particle unitarity-cuts of scattering amplitudes can be efficiently computed by applying Stokes' Theorem, in the fashion of the Generalised Cauchy Theorem. Consequently, the Optical Theorem can be related to the Berry Phase, showing how…

High Energy Physics - Phenomenology · Physics 2010-01-20 Pierpaolo Mastrolia

We propose a simple formula for multichannel resonant scattering with parameters related to physical resonant properties. It can be used to predict residue phase from other resonant parameters and describe the shape of scattering amplitudes…

High Energy Physics - Phenomenology · Physics 2017-02-03 Saša Ceci , Marin Vukšić , Branimir Zauner

The effective action includes all quantum corrections arising in a given quantum field theory. Thus it serves as a powerful generating functional from which quantum-corrected scattering amplitudes can be constructed via tree-level…

High Energy Physics - Theory · Physics 2022-05-05 Benjamin Knorr , Samuel Pirlo , Chris Ripken , Frank Saueressig

The overlap representation of skewed parton distributions is discussed and applications to wide-angle Compton scattering and electroproduction of mesons are presented. The amplitudes for these processes factorise into parton-level…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Kroll

We calculate the lowest order QCD amplitude, i.e. the quark exchange contribution, to the forward production amplitude of a pair of longitudinally polarized $\rho$ mesons in the scattering of two virtual photons $\gamma^*(Q_1) \gamma^*(Q_2)…

High Energy Physics - Phenomenology · Physics 2016-09-06 B. Pire , M. Segond , L. Szymanowski , S. Wallon

Unconstrained partial-wave amplitudes obtained at discrete energies from fits to complete sets of experimental data may not vary smoothly with energy, and are in principle non-unique. We demonstrate how this behavior can be ascribed to the…

We show that a soliton scattered by an external delta potential splits into two solitons and a radiation term. Theoretical analysis gives the amplitudes and phases of the reflected and transmitted solitons with errors going to zero as the…

Analysis of PDEs · Mathematics 2009-11-11 Justin Holmer , Jeremy Marzuola , Maciej Zworski

Quantum mechanical scattering involving continuum states coupled to a scatterer with a discrete spectrum gives rise to Fano resonances. Here we consider scatterers that possess internal vibrational degrees of freedom in addition to discrete…

Two microring resonators, one with gain and one with loss, coupled to each other and to a bus waveguide, create an effective non-Hermitian potential for light propagating in the waveguide. Due to geometry, coupling for each microring…

Optics · Physics 2019-04-10 Vladimir V. Konotop , Barry C. Sanders , Dmitry A. Zezyulin

The Thomson scattering spectra by an electron moving in the laser-magnetic resonance acceleration regime are computed numerically and analytically. The dependence of fundamental frequency on the laser intensity and magnetic resonance…

Plasma Physics · Physics 2016-11-15 Yi-Jia Fu , Chong Lv , Feng Wan , Hai-Bo Sang , Bai-Song Xie

Recursion relations for integrals of amplitudes over the phase space, i.e. for partial wave amplitudes, are introduced. In their simplest form these integrals are proportional to the s-wave amplitudes and represent rigorous lower bounds on…

High Energy Physics - Phenomenology · Physics 2009-10-22 Costas G. Papadopoulos

We develop a formalism for computing the scattering amplitudes in maximally symmetric de Sitter spacetime with compact spatial dimensions. We describe quantum states by using the representation theory of de Sitter symmetry group and link…

High Energy Physics - Theory · Physics 2025-07-18 Tomasz R. Taylor , Bin Zhu

We make a re-analysis of I=0 \pi\pi scattering phase shift \delta_0^0 through a new method of S-matrix parametrization (IA; interfering amplitude method), and show a result suggesting strongly for the existence of \sigma-particle --…

High Energy Physics - Phenomenology · Physics 2009-10-30 Shin Ishida

A theoretical model of resonant hyper-Raman scattering by an ensemble of spherical semiconductor quantum dots has been developed. The electronic intermediate states are described as Wannier-Mott excitons in the framework of the envelope…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Menendez-Proupin , C. Trallero-Giner , A. Garcia-Cristobal

Motivated by the $1/N_c$ expansion, we study a simple model in which the pi-K scattering amplitude is the sum of a current-algebra contact term and resonance pole exchanges. This phenomenological model is crossing symmetric and, when a…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Black , A. H. Fariborz , F. Sannino , J. Schechter

The Helmholtz equation in one dimension, which describes the propagation of electromagnetic waves in effectively one-dimensional systems, is equivalent to the time-independent Schr\"odinger equation. The fact that the potential term…

Classical Physics · Physics 2021-09-15 Farhang Loran , Ali Mostafazadeh

As a step toward satisfactory understanding of the quantum dynamics of Dirichlet \break (D-) particles, the amplitude for the basic process describing the scattering of two quantized D-particles is computed in bosonic string theory. The…

High Energy Physics - Theory · Physics 2007-05-23 Yoichi Kazama

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt