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Nonlinear waves are a robust phenomenon observed in complex systems ranging from mechanics to ecology. Fronts are fundamental due to their robustness against perturbations and capacity to propagate one state over another. Controlling and…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos

Quantum Electrodynamics can be formulated as the theory of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as an additional source for the electromagnetic field. The topological charge…

High Energy Physics - Theory · Physics 2007-05-23 E. C. Marino

A formulation of classical electrodynamics on an energy-momentum background of constant, non-zero curvature is given. The procedure consists of taking the formulation of standard electrodynamics in the energy-momentum representation, and…

General Physics · Physics 2020-01-01 Boris Ivetić

We propose a model of a spinless electrical charge as a self-consistent field configuration of the electromagnetic (EM) field interacting with a physical vacuum effectively described by the logarithmic quantum Bose liquid. We show that, in…

High Energy Physics - Theory · Physics 2015-03-20 Vladimir Dzhunushaliev , Konstantin G. Zloshchastiev

We discuss the dynamics of a classical spinless quantum particle carrying electric charge and constrained to move on a non singular static surface in ordinary three dimensional space in the presence of arbitrary configurations of time…

Quantum Physics · Physics 2015-05-14 B. Jensen , R. Dandoloff

The problems of Classical Electrodynamics with the electron equation of motion and with non-integrable singularity of its self-field stress tensor are well known. They are consequences, we show, of neglecting terms that are null off the…

High Energy Physics - Theory · Physics 2016-09-06 Manoelito M. de Souza

Invoking Maxwell's classical electrodynamics in conjunction with expressions for the electromagnetic (EM) energy, momentum, force, and torque, we use a few simple examples to demonstrate the nature of linear and angular momentum exchange…

Optics · Physics 2018-09-17 Masud Mansuripur

In this paper we analyze again a transition from the classical to quantum description of bound charged particles, which involves a substantial modification of the structure of their electromagnetic (EM) fields related to the well-known fact…

Atomic Physics · Physics 2011-03-22 T. Yarman , A. L. Kholmetskii , O. V. Missevitch

A method to study electromagnetic (EM) effects generated by a straight null cosmic string moving in classical EM fields is suggested. The string is shown to induce an additional EM field which can be described as a solution to homogeneous…

General Relativity and Quantum Cosmology · Physics 2023-02-15 D. V. Fursaev , I. G. Pirozhenko

Lie-Poisson electrodynamics describes the semi-classical limit of non-commutative $U(1)$ gauge theory, characterized by Lie-algebra-type non-commutativity. We focus on the mechanics of a charged point-like particle moving in a given gauge…

High Energy Physics - Theory · Physics 2024-12-16 B. S. Basilio , V. G. Kupriyanov , M. A. Kurkov

The present work proposes a discussion on the self-energy of charged particles in the framework of nonlinear electrodynamics. We seek magnet- ically stable solutions generated by purely electric charges whose electric and magnetic fields…

High Energy Physics - Theory · Physics 2009-07-24 S. O. Vellozo , José A. Helayël-Neto , A. W. Smith , L. P. G. De Assis

A motion of a classical free charge in an electromagnetic plane wave can be found exactly in a fully relativistic case. We have found an approximate non-parameter form of the suitable equations of motion. In a linearly polarized wave, in…

Atomic Physics · Physics 2015-05-13 J. H. Bauer

The field of a moving pointlike charge is determined in nonlinear local electrodynamics. As a model Lagrangian for the latter we take the one whose nonlinearity is the Euler-Heisenberg Lagrangian of quantum electrodynamics truncated at the…

High Energy Physics - Theory · Physics 2016-04-26 D. M. Gitman , A. E. Shabad , A. A. Shishmarev

A classical wave-particle entity (WPE) can be realized experimentally as a droplet walking on the free surface of a vertically vibrating liquid bath, with the droplet's horizontal walking motion guided by its self-generated wave field.…

Dynamical Systems · Mathematics 2023-04-18 Joshua Perks , Rahil Valani

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

In this work, a non-relativistic theory of the electroscalar field being an expansion of the classical Maxwell's electrodynamics is presented. Expansion of the classical electrodynamics is based on the hypothesis about an existing new…

Classical Physics · Physics 2010-05-19 D. V. Podgainy , O. A. Zaimidoroga

Self-propelled colloidal swimmers move by pushing the adjacent fluid backwards. The resulting motion of an asymmetric body depends on the profile of pushing velocity over its surface. We describe a method of predicting the motion arising…

Soft Condensed Matter · Physics 2019-07-18 Thomas A. Witten , Aaron Mowitz

Processes of propagation and interaction of nonlinear gravity-capillary waves on the free surface of a deep non-conducting liquid with high dielectric constant under the action of a tangential electric field are numerically simulated. The…

Fluid Dynamics · Physics 2018-10-10 Evgeny A. Kochurin , Nikolay M. Zubarev

Whereas nonrelativistic mechanics always connects the total momentum of a system to the motion of the center of mass, relativistic systems, such as interacting electromagnetic charges, can have internal linear momentum in the absence of…

Classical Physics · Physics 2015-05-26 Timothy H. Boyer

Exact self-consistent particle-like solutions with spherical and/or cylindrical symmetry to the equations governing the interacting system of scalar, electromagnetic and gravitational fields have been obtained. As a particular case it is…

General Relativity and Quantum Cosmology · Physics 2010-05-27 Yu. P. Rybakov , B. Saha , G. N. Shikin