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This article addresses linear hyperbolic partial differential equations with non-smooth coefficients and distributional data. Solutions are studied in the framework of Colombeau algebras of generalized functions. Its aim is to prove upper…

Analysis of PDEs · Mathematics 2015-07-31 Hideo Deguchi , Michael Oberguggenberger

In this paper we study the dispersive properties related to a model of peridynamic evolution, governed by a non local initial value problem, in the cases of two and three spatial dimensions. The features of the wave propagation…

Analysis of PDEs · Mathematics 2023-03-21 Alessandro Coclite , Giuseppe Maria Coclite , Giuseppe Fanizza , Francesco Maddalena

We calculate quark Wigner distributions using the light-front wave functions in a dressed quark model. In this model, a proton target is replaced by a simplified spin-1/2 state, namely a quark dressed with a gluon. We calculate the Wigner…

High Energy Physics - Phenomenology · Physics 2017-03-08 Jai More , Asmita Mukherjee , Sreeraj Nair

The field-theoretic wavefunction has received renewed attention with the goal of better understanding observables at the boundary of de Sitter spacetime and studying the interior of Minkowski or general FLRW spacetime. Understanding the…

High Energy Physics - Theory · Physics 2024-04-22 Mang Hei Gordon Lee

Nonlinear waves in a liquid with gas bubbles are studied. Higher order terms with respect to the small parameter are taken into account in the derivation of the equation for nonlinear waves. A nonlinear differential equation is derived for…

Pattern Formation and Solitons · Physics 2013-07-09 Nikolai A. Kudryashov , Dmitry I. Sinelshchikov

If the Electroweak Symmetry Breaking Sector turns out to be strongly interacting, the actively investigated effective theory for longitudinal gauge bosons plus Higgs can be efficiently extended to cover the regime of saturation of unitarity…

High Energy Physics - Phenomenology · Physics 2015-05-06 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada

A fractional time derivative is introduced into the Burger's equation to model losses of nonlinear waves. This term amounts to a time convolution product, which greatly penalizes the numerical modeling. A diffusive representation of the…

Computational Physics · Physics 2016-06-14 Bruno Lombard , Denis Matignon

We analyze the three-body charmless decay B+- -> K+-K+-K-+ using a sample of 226.0 +- 2.5 million BBbar pairs collected by the BABAR detector. We measure the total branching fraction and CP asymmetry to be B = (35.2 +- 0.9 +-1.6) x 10^{-6}…

High Energy Physics - Experiment · Physics 2010-03-19 The BABAR Collaboration , B. Aubert

In this work, we establish new analytical results which are required for the derivation of subtle properties of the members of two classes of the generalized Feller--Spitzer distributions introduced in our forthcoming paper.

Classical Analysis and ODEs · Mathematics 2020-08-12 R. B. Paris , V. V. Vinogradov

Among hyperbolic Initial Boundary Value Problems (IBVP), those coming from a variational principle 'generically' admit linear surface waves, as was shown by Serre [J. Funct. Anal. 2006]. At the weakly nonlinear level, the behavior of…

Analysis of PDEs · Mathematics 2015-10-06 Sylvie Benzoni-Gavage , Jean-François Coulombel

We study the excitation spectrum of light and strange mesons in diffractive scattering. We identify different hadron resonances through partial wave analysis, which inherently relies on analysis models. Besides statistical uncertainties,…

High Energy Physics - Phenomenology · Physics 2023-11-07 Florian Markus Kaspar , Julien Beckers , Jakob Knollmüller

The amplitudes for photoproduction of two pseudoscalars on a nucleon are expanded in the overall c.m. frame in a model independent way with respect to the contribution of the final state partial wave of total angular momentum $J$ and its…

Nuclear Theory · Physics 2015-06-03 A. Fix , H. Arenh"ovel

In this brief note we show that the usual Lorentz gauge is not satisfied by the Lienard-Wiechert potentials, then, using Brownstein's concept of "whole-partial" derivatives we introduce the generalized expression for the Lorentz gauge…

General Physics · Physics 2007-05-23 A. Chubykalo , A. Espinoza , R. Flores-Alvarado

Alternative partial Boolean structures, implicit in the discussion of classical representability of sets of quantum mechanical predictions, are characterized, with definite general conclusions on the equivalence of the approaches going back…

Quantum Physics · Physics 2015-05-20 Costantino Budroni , Giovanni Morchio

In this paper, we present an improved parameterization of the elastic scattering of spin-0 particles, which is based on a dispersive representation for the inverse scattering amplitude. Besides being based on well known general principles,…

High Energy Physics - Phenomenology · Physics 2023-05-03 Igor Danilkin , Volodymyr Biloshytskyi , Xiu-Lei Ren , Marc Vanderhaeghen

Generalizing the linearisation procedure used by Dirac and later by L\'evy-Leblond, we derive the first-order non-relativistic wave equations for particles of spin 1 and spin 3/2 starting from the Schrodinger equation.

Quantum Physics · Physics 2015-05-28 Y. Kasri , A. Bérard , Y. Grandati , L. Chetouani

A generalization of the Einstein equation is considered for complex line elements. Several second order semilinear partial differential equations are derived from it as semilinear field equations in uniform and isotropic spaces. The…

Mathematical Physics · Physics 2016-03-16 Makoto Nakamura

Transformation equations for physical quantities that characterize plane electromagnetic wave propagation in transparent optical media are presented. The Doppler effect, and measurements performed by an observer moving with the wave are…

General Physics · Physics 2008-12-04 B. Rothenstein , A. De Sabata

Periodic waves are standing wave solutions of nonlinear Schr\''odinger equations whose profile is periodic in space dimension one. We consider general nonlinearities and provide variational characterizations for the periodic wave profiles.…

Analysis of PDEs · Mathematics 2024-04-01 Perla Kfoury , Stefan Le Coz

In a previous paper (Commun. Theor. Phys. 57 (2012) 841), we proposed a method to distinguish poles of different dynamical origin, in a unitarized amplitude of $\pi\pi\, K\bar K$ system. That is based on the observation that `A Breit-Wigner…

High Energy Physics - Phenomenology · Physics 2015-06-05 L. Y. Dai , X. G. Wang , H. Q. Zheng