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We review the modern classical electrodynamics problems and present the related main fundamental principles characterizing the electrodynamical vacuum-field structure. We analyze the models of the vacuum field medium and charged point…

Mathematical Physics · Physics 2015-11-03 Nikolai N. Bogolubov , Denis Blackmore , Anatolij K. Prykarpatsky

This article presents: 1) The theoretical background of strong field physics and vacuum structure and stability; 2) The instrumental developments in the area of pulse lasers and considers the physics case for ultra intense laser facilities;…

Optics · Physics 2014-12-30 B. Manuel Hegelich , Gerard Mourou , Johann Rafelski

For relativistic energies the small angle classical cross section for scattering on a Coulomb potential agrees with the first Born approximation for quantum cross section for scalar particle only in the leading term. The disagreement in…

High Energy Physics - Theory · Physics 2009-11-13 A. I. Nikishov

We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

Mathematical Physics · Physics 2015-06-12 Raphael Lefevere

A unified numerically solvable framework for dispersion relations with arbitrary number of species drifting at arbitrary directions and with Krook collision is derived for linear uniform/homogenous kinetic plasma, which largely extended the…

Plasma Physics · Physics 2019-08-30 Huasheng Xie

The classical approximation may be applied to a number of problems in non-equilibrium field theory. The principles and limits of classical real-time lattice simulations are presented, with particular emphasis on the definition of particle…

High Energy Physics - Lattice · Physics 2009-11-10 Jon-Ivar Skullerud

Taking as starting point the planar model arising from the dimensional reduction of the Abelian-Higgs Carroll-Field-Jackiw model, we write down and study the extended Maxwell equations and the corresponding wave equations for the…

High Energy Physics - Theory · Physics 2011-09-13 H. Belich , T. Costa-Soares , M. M. Ferreira , J. A. Helayel-Neto

The paper is devoted to the prospects of using the laser radiation interaction with plasmas in the laboratory relativistic astrophysics context. We discuss the dimensionless parameters characterizing the processes in the laser and…

Plasma Physics · Physics 2015-05-13 S. V. Bulanov , T. Zh. Esirkepov , D. Habs , F. Pegoraro , T. Tajima

Whether monochromatic, pulsed, or even constant and crossed, the field used to describe the interaction of charged fermions with an intense laser beam is mainly assumed to be of plane-wave form. We consider a simple extension to plane-wave…

High Energy Physics - Phenomenology · Physics 2016-12-19 B. King

We present a simple model of interaction of the Maxwell equations with a matter field defined by the Klein-Gordon equation. A simple linear interaction and a nonlinear perurbation produce solutions of the equations containing hylomorphic…

Mathematical Physics · Physics 2020-12-15 Vieri Benci

We consider the Maxwell field coupled to a single rotating charge. This Hamiltonian system admits soliton-type solutions, where the field is static, while the charge rotates with constant angular velocity. We prove that any solution of…

Mathematical Physics · Physics 2025-12-16 E. A. Kopylova , A. I. Komech

We investigate the macroscopic dynamics of sets of an arbitrary finite number of weakly amplitude-modulated pulses in a multidimensional lattice of particles. The latter are assumed to exhibit scalar displacement under pairwise,…

Mathematical Physics · Physics 2009-02-12 Johannes Giannoulis

A summary of a recently proposed description of quantum-classical hybrids is presented, which concerns quantum and classical degrees of freedom of a composite object that interact directly with each other. This is based on notions of…

Quantum Physics · Physics 2013-06-20 Hans-Thomas Elze

Using the chiral kinetic theory we derive the electric and chiral current densities in inhomogeneous relativistic plasma. We also derive equations for the electric and chiral charge chemical potentials that close the Maxwell equations in…

High Energy Physics - Theory · Physics 2016-05-19 E. V. Gorbar , I. A. Shovkovy , S. Vilchinskii , I. Rudenok , A. Boyarsky , O. Ruchayskiy

Propagation and scattering of lasers present new phenomena and applications when the plasma medium becomes strongly magnetized. With mega-Gauss magnetic fields, scattering of optical lasers already becomes manifestly anisotropic. Special…

Plasma Physics · Physics 2018-04-04 Yuan Shi , Hong Qin , Nathaniel J. Fisch

The behavior of an electron spin interacting with a linearly polarized laser field is analyzed. In contrast to previous considerations of the problem, the initial state of the electron represents a localized wave packet, and a spatial…

Quantum Physics · Physics 2020-08-12 I. A. Aleksandrov , D. A. Tumakov , A. Kudlis , V. M. Shabaev , N. N. Rosanov

We consider localized soliton-like solutions in the presence of a stable scalar condensate background. By the analogy with classical mechanics, it can be shown that there may exist solutions of the nonlinear equations of motion that…

High Energy Physics - Theory · Physics 2016-12-14 E. Nugaev , A. Shkerin , M. Smolyakov

The exact 1+3 covariant dynamical fluid equations for a multi-component plasma, together with Maxwell's equations are presented in such a way as to make them suitable for a gauge-invariant analysis of linear density and velocity…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mattias Marklund , Peter K. S. Dunsby , Gerold Betschart , Martin Servin , Christos Tsagas

We give a class of exact solutions of quartic scalar field theories. These solutions prove to be interesting as are characterized by the production of mass contributions arising from the nonlinear terms while maintaining a wave-like…

Mathematical Physics · Physics 2011-07-08 Marco Frasca

A model is investigated where a monochromatic, spatially homogeneous laser field interacts with an electron in a one-dimensional periodic lattice. The classical Hamiltonian is presented and the technique of stroboscopic maps is used to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. A. M. de Aguiar , H. S. Brandi , Belita Koiller , Eduardo R. Mucciolo