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Quantum polarization is investigated by means of a trajectory picture based on the Bohmian formulation of quantum mechanics. Relevant examples of classical-like two-mode field states are thus examined, namely Glauber and SU(2) coherent…

Quantum Physics · Physics 2015-09-02 Alfredo Luis , Angel S. Sanz

It is generally accepted that the dynamics of relativistic particles in the lab frame can be described by taking into account the relativistic dependence of the particles momenta on the velocity, with no reference to Lorentz…

Accelerator Physics · Physics 2017-04-07 Gianluca Geloni , Vitali Kocharyan , Evgeni Saldin

The dipole moment of any finite and neutral system, having a square-integrable wavefunction, is a well defined quantity. The same quantity is ill-defined for an extended system, whose wavefunction invariably obeys periodic (Born-von Karman)…

Materials Science · Physics 2007-05-23 Raffaele Resta

This article investigates the full Boltzmann equation up to second order in the cosmological perturbations. Describing the distribution of polarized radiation by a tensor valued distribution function, we study the gauge dependence of the…

General Relativity and Quantum Cosmology · Physics 2018-06-28 Cyril Pitrou

The electromechanical response of polymeric soft matter to applied electric fields is of fundamental scientific interest as well as relevant to technologies for sensing and actuation. Several existing theoretical and numerical approaches…

The issue of electric charges in interaction with partially reflective surfaces is addressed by means of field theoretic methods. It is proposed an enlarged Maxwell lagrangian, describing the electromagnetic field in the presence of a…

High Energy Physics - Theory · Physics 2014-10-02 F. E. Barone , F. A. Barone

We consider the electromagnetic field in the presence of polarizable point dipoles. In the corresponding effective Maxwell equation these dipoles are described by three dimensional delta function potentials. We review the approaches…

Mathematical Physics · Physics 2015-06-23 M. Bordag , J. M. Munoz-Castaneda

One important development in interaction potential models, or atomistic force fields, for molecular simulation is the inclusion of explicit polarisation, which represents the induction effects of charged or polar molecules on polarisable…

Soft Condensed Matter · Physics 2017-05-25 Agílio A. H. Pádua

After defining the concept of duality in the context of general $n$-form abelian gauge fields in 2$n$ dimensions, we show by explicit example the difference between apparent but unrealizable duality transformations, namely those in…

High Energy Physics - Theory · Physics 2010-12-13 S. Deser

The purpose of this article is twofold. On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agreement with the formal Bohr's correspondence principle of…

Analysis of PDEs · Mathematics 2022-04-08 Zied Ammari , Marco Falconi , Fumio Hiroshima

It is conventionally believed that solutions of so called "free" Maxwell equations for \varrho=0 (density of charge) describe the free electromagnetic field in empty space (if one considers the free field as a field, whose flux lines…

Classical Physics · Physics 2007-05-23 Andrew E. Chubykalo , Hector A. Munera , Roman Smirnov-Rueda

In the first part of this work (http://www.arxiv.org/abs/quant-ph/0509044), it was shown that the Klein-Gordon-Maxwell electrodynamics in the unitary gauge allows natural elimination of the particle wave function and describes independent…

Quantum Physics · Physics 2008-12-31 Andrey Akhmeteli

The symmetry studies of Maxwell equations gave new insight on the nature of electromagnetic (EM) field. It has in general case quaternion single structure, consisting of four independent field constituents, which differ with each other by…

Quantum Physics · Physics 2011-09-21 Dmitri Yerchuck , Alla Dovlatova , Andrey Alexandrov

A framework for premetric p-form electrodynamics is proposed. Independently of particular constitutive relations, the corresponding Maxwell equations are derived as a special case of stress theory in geometric continuum mechanics.…

Mathematical Physics · Physics 2026-01-16 Vladimir Gol'dshtein , Reuven Segev

The Abelian Born-Infeld classical non-linear electrodynamic has been used to investigate the electric and magnetostatic fields generated by a point-like electrical charge at rest in an inertial frame. The results show a rich internal…

High Energy Physics - Theory · Physics 2008-11-26 S. O. Vellozo , Jose A. Helayel-Neto , A. W. Smith , L. P. G. De Assis

We will display the fundamental structure of classical electrodynamics. Starting from the axioms of (1) electric charge conservation, (2) the existence of a Lorentz force density, and (3) magnetic flux conservation, we will derive Maxwell's…

Classical Physics · Physics 2007-05-23 Friedrich W. Hehl , Yuri N. Obukhov , Guillermo F. Rubilar

In the usual Clifford algebra formulation of electrodynamics the Faraday bivector field $F$ is expressed in terms of \QTR{em}{the observer dependent} relative vectors $\QTR{bf}{E}$ and $\QTR{bf}{B.}$ In this paper we present \QTR{em}{the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomislav Ivezic

A model of a conducting cylinder with a radial temperature gradient which creates an electric field that increases with time in the surrounding vacuum is examined. The conditions under which this model functions are pointed out. An electric…

High Energy Astrophysical Phenomena · Physics 2024-11-19 G. S. Bisnovatyi-Kogan , M. V. Glushikhina

Vector displacements expressed in spherical coordinates are proposed. They correspond to electromagnetic fields in vacuum that globally rotate about an axis and display many circular patterns on the surface of a sphere. The fields basically…

Classical Physics · Physics 2021-06-11 Daniele Funaro

When exploring equations of nonlinear electrodynamics in effective medium formed by mutually parallel external electric and magnetic fields, we come to special static axial-symmetric solutions of two types. The first are comprised of fields…

High Energy Physics - Theory · Physics 2023-11-29 T. C. Adorno , D. M. Gitman , A. E. Shanad
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