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The demonstration that the electromagnetic fields derived from the Lienard-Wiechert potentials do not satisfy the Maxwell equations is proved to be false. Errors were made in the computation of the derivatives of retarded quantities. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. D. Jackson

The electromagnetic self-force of a point charge moving arbitrarily on a rectilinear trajectory is calculated by averaging its retarded electric self-field over a sphere of infinitesimal radius centered on the charge's present position. The…

Classical Physics · Physics 2021-07-14 V. Hnizdo , G. Vaman

We formulate an existence theorem that states that given localized scalar and vector time-dependent sources satisfying the continuity equation, there exist two retarded fields that satisfy a set of four field equations. If the theorem is…

Classical Physics · Physics 2008-12-31 Jose A. Heras

Original abstract: Consider the worldline of a charged particle in a static spacetime. Contraction of the time-translation Killing field with the retarded electromagnetic energy-momentum tensor gives a conserved electromagnetic energy…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Stephen Parrott

Calin Galeriu(CG) has commented [1] about our manuscript, "Doppler signature in electrodynamic retarded potentials" [2], that must be properly addressed, amending at the same time of notation errors [3] to clarify some formal aspects which…

Classical Physics · Physics 2024-03-01 Giovanni Perosa , Simone Di Mitri , William A. Barletta , Fulvio Parmigiani

In a recent paper (Phys. Rev. D78, 084031 (2008), arXiv:0808.0642, Ref. [1]) it was shown in examples that the covariant retarded Green's functions in particular gauges for electromagnetism and linearized gravity can be used to reproduce…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Atsushi Higuchi , Yen Cheong Lee , Jack R. Nicholas

An algorithm is demonstrated that performs first-principles tracking of relativistic charged-particles. A covariant approach is used which relies on retarded vector potentials for trajectory integration instead of performing electromagnetic…

Accelerator Physics · Physics 2024-09-23 B. Folsom , E. Laface

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

An exact calculation of the retarded electric field in the source region of a system of individual charges, expanded to third order in velocity, shows that all nonrelativistic accelerated charges in a system emit dipole electromagnetic…

Plasma Physics · Physics 2007-05-23 F. S. Felber

In this note we document a gap in an argument in the above paper, and point to new work in the literature giving a complete proof of the main result.

Dynamical Systems · Mathematics 2026-02-24 Jorge Fariña-Asategui , Rafe Jones , Santiago Radi

We describe the distribution of a charge, the electric moments of arbitrary order and the force acting on a conducting ball on the axis of the axial electric field. We determine the full charge and the dipole moments of the first order for…

Mathematical Physics · Physics 2012-12-27 Alexander Savchenko

A fully relativistically covariant formulation of the classical Maxwell electrodynamics of an arbitrarily-moving point charge is presented, purely in terms of gauge invariant potentials without entailing any gauge fixing. A new,…

Classical Physics · Physics 2019-05-21 Anarya Ray , Parthasarathi Majumdar , Zahid Ansari

It is shown that the well-known disparity in classical electrodynamics between the power losses calculated from the radiation reaction and that from Larmor's formula, is succinctly understood when a proper distinction is made between…

Classical Physics · Physics 2016-03-15 Ashok K. Singal

Using physical arguments, I derive the physically correct equations of motion for a classical charged particle from the Lorentz-Abraham-Dirac equations (LAD) which are well known to be physically incorrect. Since a charged particle can…

Classical Physics · Physics 2009-11-13 Fritz Rohrlich

It has been suggested that the magnetic Aharonov-Bohm effect can be interpreted equally well as being due to a phase shift associated with an electron in an interferometer enclosing a magnetic flux, or as a phase shift associated with the…

Quantum Physics · Physics 2025-10-14 J. D. Franson

The classical theory of radiating point-charges is revisited: the retarded potentials, fields, and currents are defined as nonlinear generalized functions and all calculations are made in a Colombeau algebra. The total rate of…

Classical Physics · Physics 2008-12-31 Andre Gsponer

In the framework of the theory of defects/three-dimensional gravitation, it is obtained a positive correction to the magnetic moment of the electron bound to a disclination in a dielectric solid.

Condensed Matter · Physics 2015-06-25 Fernando Moraes

The low-energy amplitude of Compton scattering on the bound state of two charged particles of arbitrary masses, charges and spins is calculated. A case in which the bound state exists due to electromagnetic interaction (QED) is considered.…

High Energy Physics - Phenomenology · Physics 2011-01-25 R. N. Lee , A. I. Milstein , M. Schumacher

It is shown that the mathematical form, obtained in a recent paper, for the angular momentum of the electromagnetic field in the vicinity of electric charge is equivalent to another form obtained previously by Cohen-Tannoudji, Dupont-Roc…

Optics · Physics 2010-06-01 A. M. Stewart

We compare the behavior of a charged particle in a gravitational field and empty space. We resolve the apparent conflict between the Lorentz-Dirac equation and Larmor's formula of radiation by noting that the former describes an electron…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Viktor T. Toth