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We discuss the theory of electromagnetic fields, with an emphasis on aspects relevant to radiofrequency systems in particle accelerators. We begin by reviewing Maxwell's equations and their physical significance. We show that in free space,…

Accelerator Physics · Physics 2015-03-19 Andrzej Wolski

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

It is now widely accepted that the Maxwell equations of Electrodynamics constitute a self-consistent set of four independent partial differential equations. According to a certain school of thought, however, half of these equations -…

Classical Physics · Physics 2023-06-27 C. J. Papachristou , A. N. Magoulas

We quantize the Maxwell theory in the presence of a electric charge in a "dual" Loop Representation, i.e. a geometric representation of magnetic Faraday's lines. It is found that the theory can be seen as a theory without sources, except by…

High Energy Physics - Theory · Physics 2014-11-20 Lorenzo Leal

We analyze the general radiation emission mechanism from a charged particle moving in a curved inhomogeneous magnetic field. The consideration of the gradient makes the curved vacuum magnetic field compatible with the Maxwell equations and…

Astrophysics · Physics 2009-11-07 T. Harko , K. S. Cheng

In this comment it is argued that the argument for a unique determination of the electromagnetic potentials in classical electrodynamics in [1] is flawed. To the contrary the "gauge freedom" of the electromagnetic potentials has proven as…

Classical Physics · Physics 2021-01-26 Hendrik van Hees

The theory of the free Maxwell field in two moving frames on the de Sitter spacetime is investigated pointing out that the conserved momentum and energy operators do not commute to each other. This leads us to consider new plane waves…

General Relativity and Quantum Cosmology · Physics 2011-03-15 Ion I. Cotaescu , Cosmin Crucean

We show that a large class of null electromagnetic fields are immune to any modifications of Maxwell's equations in the form of arbitrary powers and derivatives of the field strength. These are thus exact solutions to virtually any…

High Energy Physics - Theory · Physics 2018-03-09 Marcello Ortaggio , Vojtěch Pravda

In this article, we review the principles of macroscopic quantum electrodynamics and discuss a variety of applications of this theory to medium-assisted atom-field coupling and dispersion forces. The theory generalises the standard mode…

Quantum Physics · Physics 2009-03-02 Stefan Scheel , Stefan Yoshi Buhmann

The governing equations of Maxwell electrodynamics in multi-dimensional spaces are derived from the variational principle of least action which is applied to the action function of the electromagnetic field. The Hamiltonian approach for the…

General Physics · Physics 2023-06-13 Alexei M. Frolov

We present a kind of model of quantum electrodynamics with nonlocal interaction, all the action and the equations of motion of charged particle and electromagnetic field are given. The main characteristics of the theory are: the model obeys…

High Energy Physics - Theory · Physics 2011-06-08 T. Mei

We consider the Lee-Wick (LW) finite electrodynamics, i.e., the U(1) gauge theory where a (gauge-invariant) dimension-6 operator containing higher-derivatives is added to the free Lagrangian of the U(1) sector. Three bounds on the LW heavy…

High Energy Physics - Theory · Physics 2015-03-17 Antonio Accioly , Patricio Gaete , José Helayël-Neto , Eslley Scatena , Rodrigo Turcati

The quantum field theory of extended objects is employed to address the hitherto nonrenormalizable Pauli interaction. This is achieved by quantizing the Dirac field using the infinite dimensional generalization of the extended object…

High Energy Physics - Theory · Physics 2009-09-25 Ramchander R. Sastry

Electromagnetic fields which solve the vacuum Maxwell equations in one spacetime are well-known to also be solutions in all spacetimes with conformally-related metrics. This provides a sense in which electromagnetism alone cannot be used to…

General Relativity and Quantum Cosmology · Physics 2017-04-13 Abraham I. Harte

We begin by studying a very simple Hamiltonian for Maxwell's equations that has no gauge fields and is made entirely of the electromagnetic fields. We then show that this theory cannot be quantized. We also show that no other such simple…

High Energy Physics - Theory · Physics 2015-07-03 Mahdiyar Noorbala

A theory for lifting equations of motion for charged particle dynamics, subject to given electromagnetic like forces, up to a gauge-free system of coupled Hamiltonian Vlasov-Maxwell like equations is given. The theory provides very general…

Plasma Physics · Physics 2013-02-19 P. J. Morrison

Controlling single-electron states becomes increasingly important due to the wide-ranging advances in electron quantum optics. Single-electron control enables coherent manipulation of individual electrons and the ability to exploit the wave…

Quantum Physics · Physics 2023-11-14 Mauro Ballicchia , Clemens Etl , Mihail Nedjalkov , Josef Weinbub

Maxwell equations (Faraday and Ampere-Maxwell laws) can be presented as a three component equation in a way similar to the two component neutrino equation. However, in this case, the electric and magnetic Gauss's laws can not be derived…

Quantum Physics · Physics 2007-05-23 A. Gersten

Issuing from a geometry with nonmetricity and torsion we build up a classical theory of gravitation and electromagnetism. The theory is coordinate covariant as well Weyl-gauge covariant. Massless and massive photons, intrinsic electr. and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Israelit

A universal C*-algebra of the electromagnetic field is constructed. It is represented in any quantum field theory which incorporates electromagnetism and expresses basic features of this field such as Maxwell's equations, Poincar\'e…

Mathematical Physics · Physics 2015-10-20 Detlev Buchholz , Fabio Ciolli , Giuseppe Ruzzi , Ezio Vasselli
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