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The classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic (EM) field, force, energy, and momentum, which are intimately tied together by Poynting's theorem and by the Lorentz force law.…

Classical Physics · Physics 2017-09-25 Masud Mansuripur

It is shown that a well-defined expression for the total electromagnetic force $f^{em}$ on a point charge source of the classical electromagnetic field can be extracted from the postulate of total momentum conservation whenever the…

Classical Physics · Physics 2020-05-04 Michael K. -H. Kiessling

It is widely believed that classical electromagnetism is either unphysical or inconsistent, owing to pathological behavior when self-force and radiation reaction are non-negligible. We argue that there is no inconsistency as long as it is…

Classical Physics · Physics 2015-10-13 Andrew M. Steane

The classical equation of motion of a charged point particle, including its radiation reaction, is described by the Lorentz-Dirac equation. We found a new class of solutions that describe tunneling (in a completely classical context!). For…

High Energy Physics - Theory · Physics 2007-05-23 Frederik Denef , Joris Raeymaekers , Urban M. Studer , Walter Troost

In this paper, we construct a parallel image of the conventional Maxwell theory by replacing the observer-time by the proper-time of the source. This formulation is mathematically, but not physically, equivalent to the conventional form.…

Classical Physics · Physics 2007-05-23 T. L. Gill , W. W. Zachary , J. Lindesay

Historically Gordon decomposition of Dirac current played an important role in the interpretation of Dirac equation. We revisit it to understand the correspondence between Maxwell-Dirac and Maxwell-Lorentz theories. Arguments are presented…

General Physics · Physics 2017-04-04 S. C. Tiwari

The classical electromagnetic field of a spinless point electron is described in a formalism with extended causality by discrete finite point-vector fields with discrete and localized point interactions. These fields are taken as a…

High Energy Physics - Theory · Physics 2016-08-15 Manoelito M de Souza , Jair V. Costa , Adriano S. Pedra

All experimental evidence {indicates} that the vacuum is not void, but filled with something truly quantum. This is reflected by terms such as {zero-point} fluctuations, and Dirac's sea of virtual particle-antiparticle pairs, and last but…

Quantum Physics · Physics 2025-07-29 Gerd Leuchs , Luis L. Sanchez-Soto

It is argued that, contrary to conventional wisdom, no trustworthy universal self-force/radiative corrections to the Lorentz force equation, can be derived from the basic tenets of classical electrodynamics. This concords with the apparent…

Quantum Physics · Physics 2024-02-13 Yehonatan Knoll

This paper is devoted to the analysis of the divergence of the electron self-energy in classical electrodynamics. To do so, we appeal to the theory of distributions and a method for obtaining corresponding extensions. At first sight,…

General Physics · Physics 2023-08-16 H. R. de Assis , B. F. Rizzuti

The dynamics of a radiating charge is one of the oldest unsettled problems in classical physics. The standard Lorentz-Abraham-Dirac (LAD) equation of motion is known to suffer from several pathologies and ambiguities. This paper briefly…

High Energy Physics - Theory · Physics 2016-11-22 Sofiane Faci , José A. Helayel-Neto , V. H. Satheeshkumar

The classical electromagnetic field of a spinless point electron is described in a formalism with extended causality by discrete finite transverse point-vector fields with discrete and localized point interactions. These fields are taken as…

High Energy Physics - Theory · Physics 2007-05-23 Manoelito M. de Souza

A simple mathematical procedure is introduced which allows redefining in an exact way divergent integrals and limits that appear in the basic equations of classical electrodynamics with point charges. In this way all divergences are at once…

Classical Physics · Physics 2015-06-26 Massimo Marino

A fundamental issue in classical electrodynamics is represented by the search of the exact equation of motion for a classical charged particle under the action of its electromagnetic (EM) self-field - the so-called radiation-reaction…

Classical Physics · Physics 2008-09-22 M. Tessarotto , C. Cremaschini , M. Dorigo

In this and companion papers, we show that quantum field theories with gauge symmetries permit a broader class of classical dynamics than typically assumed. In this article, we show that the quantization of electromagnetism permits the…

High Energy Physics - Theory · Physics 2023-07-19 David E. Kaplan , Tom Melia , Surjeet Rajendran

A well known example in quantum electrodynamics (QED) shows that Coulomb scattering of unpolarized electrons, calculated to lowest order in perturbation theory, yields a results that exactly coincides (in the non-relativistic limit) with…

Quantum Physics · Physics 2009-06-11 Gabriela Murguia , Matias Moreno , Manuel Torres

Retarded potentials of a point-charge are considered, and new ones presented, including potentials of a point-charge moving at the speed of light. The Lienard-Wiechert potential (together with the usual retardation condition) is only one of…

General Physics · Physics 2019-03-19 Andrew T. Hyman

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

The question is discussed whether the momentum of a photon has a quantum uncertainty or whether it is a classical quantity. The latter assumption is the main characteristic of reducible Quantum Electrodynamics (rQED). Recent experiments in…

Quantum Physics · Physics 2018-12-31 Jan Naudts

It is shown how initial conditions can be appropriately defined for the integration of Lorentz-Dirac equations of motion. The integration is performed \QTR{it}{forward} in time. The theory is applied to the case of the motion of an electron…

General Physics · Physics 2009-11-07 M. S. Hussein , M. P. Pato , J. C. Wells