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In this paper, we show how the motion of physical fields, in particular the electromagnetic potential, is connected with the choice of a space and time decomposition of the background spacetime manifold. The relation of the field dynamics…

General Relativity and Quantum Cosmology · Physics 2016-07-06 Rico Berner , Horst-Heino von Borzeszkowski , Thoralf Chrobok

The purpose of this course is to provide an introduction to Electromagnetic Theory. The foundations of electrodynamics starting from the nature of electrical force up to the level of Maxwell equations solutions are presented. It starts with…

Accelerator Physics · Physics 2021-09-03 Irina Shreyber

A systematic formalism for quantum electrodynamics in a classical uniform magnetic field is discussed. The first order radiative correction to the ground state energy of an electron is calculated. This then leads to the anomalous magnetic…

High Energy Physics - Theory · Physics 2007-05-23 Jun Suzuki

For the first time a method is devised for non-iterative modeling of motion of a radiating, electrified pointlike mass that has an internal structure. New, supplementary kinetic constants of accelerated charged particles are defined, that…

General Physics · Physics 2010-05-24 Marijan Ribarič , Luka Šušteršič

The version of electrodynamics is constructed in which faster-than-light motions of fields and particles with real masses are possible. Transformational properties of 3-velocity, momentum, energy and electromagnetic field are presented in…

Classical Physics · Physics 2007-05-23 Gennadii A. Kotel'nikov

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

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 version of electrodynamics is constructed in which faster-than-light motions of electromagnetic fields and particles with real masses are possible.

Classical Physics · Physics 2007-05-23 Gennadii Kotel'nikov

The special relativity principle presupposes that the states of the physical system concerned can be meaningfully characterized, at least locally, as such in which the system is at rest or in motion with some velocity relative to an…

History and Philosophy of Physics · Physics 2014-06-17 Marton Gomori , Laszlo E. Szabo

Theory of electromagnetic field, specified by an effective action functional, is considered. The causality condition is imposed in the form of a requirement that the group velocities of propagation of small and soft disturbances over the…

High Energy Physics - Theory · Physics 2025-05-13 Anatoly E. Shabad

We investigate here the question raised in literature about the correct expression for the electromagnetic field-momentum, especially when static fields are involved. For this we examine a couple of simple but intriguing cases. First we…

Classical Physics · Physics 2016-11-04 Ashok K. Singal

Calculating the electromagnetic field of a uniformly accelerated charged particle is a surprisingly subtle problem that has been long discussed in the literature. While the correct field has been obtained many times and through various…

Classical Physics · Physics 2015-06-22 Daniel J. Cross

We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , John B. Delos

We find the electric field of a point charge in `truncated hyperbolic motion', in which the charge moves at a constant velocity followed by motion with a constant acceleration in its instantaneous rest frame. The same Lienard-Wiechert…

Classical Physics · Physics 2015-07-08 Jerrold Franklin

We revisit in the framework of the classical theory the problem of the accelerated motion of an electron, taking into account the effect of the radiation emission. We present results for the momentum and energy of the electromagnetic field…

Classical Physics · Physics 2018-11-21 Mihai Dondera

We study the Hamiltonian formulation for a parametrized electromagnetic field with the purpose of clarifying the interplay between parametrization and gauge symmetries. We use a geometric approach which is tailor-made for theories where…

High Energy Physics - Theory · Physics 2017-03-24 J. Fernando Barbero , Juan Margalef-Bentabol , Eduardo J. S. Villaseñor

An equation of motion is derived for a topologically cylindrical worldsheet of lightlike electromagnetic current, embedded in 3+1 dimensions in a smooth external electromagnetic field. Then it is shown that the static circle of uniformly…

Classical Physics · Physics 2012-12-24 J. Margulies

Maxwell's equations are formulated in arbitrary moving frames by means of tetrad fields, which are interpreted as reference frames adapted to observers in space-time. We assume the existence of a general distribution of charges and currents…

Classical Physics · Physics 2010-12-01 J. W. Maluf , S. C. Ulhoa

A charged particle which is allowed to accelerate must have relativistic behavior because it is coupled to electromagnetic radiation which propagates at the speed of light. We treat the simple steady-state situation of a charged particle…

Classical Physics · Physics 2023-08-02 Timothy H. Boyer

The motion of a charged particle moving on a flat surface is studied through the constants of motion associated to the system, given the magnetic gauge. The usual Landau' solution and the non separable solution for the Landau's gauge are…

Quantum Physics · Physics 2025-01-28 Gustavo V. López , Jorge A. Lizarraga
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