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Up until now, a consistent causal theory of point charged particles (for example electrons) interacting with electromagnetic field is not known. The well-known problem is that the standard Lorentz force alone (in the case of point…

Classical Physics · Physics 2022-03-08 Pawel Zin

The static Coulomb potential of Quantum Electrodynamics (QED) is calculated in the presence of a strong magnetic field in the lowest Landau level (LLL) approximation using two different methods. First, the vacuum expectation value of the…

High Energy Physics - Theory · Physics 2008-11-26 N. Sadooghi , A. Sodeiri Jalili

Dirac's Relativistic Wave Equation implies a measured electron velocity of $\pm c$ in any direction, in contradiction to Special Relativity and observation. It is shown in this article that this anomalous electron velocity reveals an…

Quantum Physics · Physics 2020-06-30 Basil S. Davis

The Lorentz-Abraham-Dirac (LAD) equation has proved valuable in describing the motion of radiating electric charges but suffers from runaway, pre-acceleration and other ambiguities. The usual scheme is problematic because of locality, which…

Classical Physics · Physics 2016-11-24 Sofiane Faci , Mario Novello

It is underlined that the Lienard-Wiechert solutions indicate that after the external force is instantly removed from a small charged particle, the field in its close neighborhood becomes a Lorentz boosted Coulomb field. It suggests that…

General Relativity and Quantum Cosmology · Physics 2013-09-13 Alejandro Cabo Montes de Oca , Jorge Castiñeiras

The dynamics of a quantum particle bound by an accelerating delta-functional potential is investigated. Three cases are considered, using the reference frame moving along with the {\delta}-function, in which the acceleration is converted…

Quantum Physics · Physics 2015-05-27 Er'el Granot , Boris Malomed

An accelerated charged particle emits electromagnetic radiation. If the driving force is sufficiently strong, the radiated energy becomes comparable to the kinetic energy of the particle and the back-action of the emitted radiation…

High Energy Physics - Experiment · Physics 2020-09-23 Christian F. Nielsen , Jens B. Justesen , Allan H. Sørensen , Ulrik I Uggerhøj , Robert Holtzapple

In the present work we use the Li\'enard-Wiechert potential to show that very violent fluctuations are experienced by an electromagnetic charged extended particle when it is perturbed from its rest state. The feedback interaction of…

Quantum Physics · Physics 2020-06-15 Álvaro G. López

By describing the dynamical evolution of a test charged particle in the presence of an electromagnetic field as a succession of infinitesimal Lorentz boosts and rotations it is possible to obtain the Lorentz Force of Electrodynamics. A…

Mathematical Physics · Physics 2009-01-21 J. Buitrago

The region very close to an electron ($r << r_0 = e^2/mc^2 \approx 2.8\times 10^{-13}$ cm) is, according to quantum electrodynamics, a seething maelstrom of virtual electron-positron pairs flashing in and out of existence. To take account…

General Physics · Physics 2009-11-07 S. M. Blinder

LaTeX transcription (2025) of a 1989 honours thesis (University of Adelaide) on point charges in classical electrodynamics and the Lorentz-Dirac radiation-reaction equation. The thesis reviews the retarded field of an arbitrarily moving…

Classical Physics · Physics 2025-12-23 Jonathan Baxter

An accelerated classical point charge radiates at the Larmor power rate $2e^2a^2/3$, leading to the expectation of an associated radiation reaction force. The famous Abraham-Lorentz-Dirac proposal is plagued with difficulties. Here we note…

Classical Physics · Physics 2007-05-23 J. M. Nester , C. M. Ko

The eigenstates of a single massless Dirac particle confined in a linear potential are calculated exactly by direct solution of the Dirac equation. The electromagnetic structure functions are calculated from the Dirac wave functions of the…

Nuclear Theory · Physics 2009-11-10 Mark W. Paris

A procedure to calculate the radiation spectrum emitted by an arbitrarily prepared Dirac wave packet is developed. It is based on the Dirac charge current and classical electrodynamic theory. Apart from giving absolute intensity values, it…

Atomic Physics · Physics 2009-11-10 Guido R. Mocken , Christoph H. Keitel

For the first time we calculate the electron transmission phase through a quantum point contact (QPC). The QPC is considered in the saddle point approximation in the single-electron picture. We show that when the electron energy is close to…

Mesoscale and Nanoscale Physics · Physics 2014-10-29 Bryce G. C. Lackenby , Oleg P. Sushkov

When the parameters of electron - extreme power laser interaction enter the regime of dominated radiation reaction, the electron dynamics changes qualitatively. The adequate theoretical description of this regime becomes crutially important…

Classical Physics · Physics 2013-05-29 Sergei V. Bulanov , Timur Zh. Esirkepov , Masaki Kando , James K. Koga , Stepan S. Bulanov

A model for the dynamics of a classical point charged particle interacting with higher order jet fields is introduced. In this model, the dynamics of the charged particle is described by an implicit ordinary second order differential…

Mathematical Physics · Physics 2020-03-10 Ricardo Gallego Torromé

The search of the correct equation of motion for a classical charged particle under the action of its electromagnetic (EM) self-field, the so-called \textit{radiation-reaction equation of motion}, remains elusive to date. In this paper we…

Classical Physics · Physics 2009-11-13 M. Dorigo , M. Tessarotto , P. Nicolini , A. Beklemishev

The problem of the self-interaction of a quasi-rigid classical particle with an arbitrary spherically symmetric charge distribution is completely solved up to the first order in the acceleration. No ad hoc assumptions are made. It is shown…

Classical Physics · Physics 2007-05-23 Rodrigo Medina

While he derived the equation for the radiation force, Dirac (1938) mentioned a possibility to use different choices for the 4-momentum of an emitting electron. Particularly, the 4-momentum could be non-colinear to the electron 4-velocity.…

Classical Physics · Physics 2015-05-13 Igor V. Sokolov