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Expectation values of the electromagnetic field and the electric current are introduced at space-time resolution which belongs to the quantum domain. These allow us to approach some key features of classical electrodynamics from the…

High Energy Physics - Theory · Physics 2010-09-17 Mathieu Planat , Janos Polonyi

This paper examines the theory of electron magnetic dipole moment interactions with magnetic fields or other electrons in classical and quantum electrodynamics. We show that these interactions may be described by a version of the Poynting…

Classical Physics · Physics 2026-04-22 Peter J Mohr

The recoil associated with photon emission is key to the dynamics of ultrarelativistic electrons in strong electromagnetic fields, as are found in high-intensity laser-matter interactions and astrophysical environments such as neutron star…

Plasma Physics · Physics 2018-08-20 T. G. Blackburn , D. Seipt , S. S. Bulanov , M. Marklund

Based on the analysis of biquaternion quadratic forms of field, it is shown that Maxwell equations arise as a consequence of the principle of conservation of the energy-momentum flow of field in space-time. It turns out that this principle…

Classical Physics · Physics 2024-03-05 Sergey Y. Kotkovskiy

We are doubtlessly familiar with some edition of Jackson's tome on electrodynamics, and Schwinger's calculation of the anomalous magnetic moment of the electron in QED. From the perspective of strong interactions, however, electromagnetic…

High Energy Physics - Lattice · Physics 2011-11-03 B. C. Tiburzi

We study quantum systems of interacting electrons, magnetic monopoles, and electromagnetic field. We formulate a convenient field theory, in which the electron-photon, monopole-photon, and electron-monopole interactions take simple forms.

High Energy Physics - Theory · Physics 2015-02-19 Zhong Wang

Quantum Electrodynamics (QED) serves as a useful toy model for classical observables in gravitational two-body systems with reduced complexity due to the linearity of QED. We investigate scattering observables in scalar QED at the sixth…

High Energy Physics - Theory · Physics 2022-09-07 Zvi Bern , Juan Pablo Gatica , Enrico Herrmann , Andres Luna , Mao Zeng

This is an attempt to construct a classical microscopic model of the electron which underlies quantum mechanics. An electron is modeled, not as a point particle, but as the end of an electromagnetic string, a line of flux. These lines…

General Physics · Physics 2008-07-24 Robert L. McCarthy

It is shown that relative coordinate and momentum of coherent electron pair have the meaning of observables with the help of quadrupole and magnetic moments. Distributions of quadrupole terms of scalar potential are shown. These…

Quantum Physics · Physics 2007-05-23 Constantin V. Usenko , Nataliia O. Cherkashyna

We discuss some elementary examples of interactions (at low velocity) between point charges and magnetic dipoles using potentials, along the lines indicated by Konopinsky, and show that the physical interpretation might look quite different…

Classical Physics · Physics 2014-03-11 R. Coïsson

In this paper we discuss in detail the interface between Classical Electrodynamics and Quantum Theory, which shows up as well known unphysical phenomena at the Compton scale in both the theories and argue that the photon of the…

General Physics · Physics 2007-05-23 B G Sidharth

Instead of using local field equations - like the Dirac equation for spin-1/2 and the Klein-Gordon equation for spin-0 particles - one could try to use non-local field equations in order to describe scattering processes. The latter…

High Energy Physics - Theory · Physics 2008-02-25 Tobias Gleim

This paper discusses an attempt to develop a mathematically rigorous theory of Quantum Electrodynamics (QED). It deviates from the standard version of QED mainly in two aspects: it is assumed that the Coulomb forces are carried by…

Quantum Physics · Physics 2019-01-07 Jan Naudts

This paper is devoted to presenting a rigorous mathematical derivation for the classical phenomenon in Maxwell's theory that a charged particle moves along a straight line in a constant electromagnetic field if the initial velocity is…

Analysis of PDEs · Mathematics 2025-04-01 Shuang Miao , Shiwu Yang , Pin Yu

Due to the nonlinearity of QED, a static charge becomes a magnetic dipole if placed in a magnetic field. Already without external field, the cubic Maxwell equation for the field of a point charge has a soliton solution with a finite field…

High Energy Physics - Theory · Physics 2015-09-02 T. C. Adorno , Caio Costa , D. M. Gitman , A. E. Shabad

In nonlinear electrodynamics, QED included, we find a static solution to the field equations with an electric charge as its source, which is comprised of homogeneous parallel magnetic and electric fields, and a radial…

High Energy Physics - Theory · Physics 2015-09-09 Tiago C. Adorno , Dmitry M. Gitman , Anatoly E. Shabad

In noncommutative QED photons present self-interactions in the form of triple and quartic interactions. The triple interaction implies that, even though the photon is electrically neutral, it will deflect when in the presence of an…

High Energy Physics - Phenomenology · Physics 2015-06-25 C. A. de S. Pires

The reduction of the three-dimensional classical electromagnetism is performed in a twofold way. In the first case the ordinary two-dimensional electromagnetism is obtained with sources in the form of conserved electric currents flowing…

Classical Physics · Physics 2019-05-01 Tomasz Radozycki

The different types of orbits in the classical problem of two particles with equal masses and opposite charges on a plane under the influence of a constant orthogonal magnetic field are classified. The equations of the system are reduced to…

Mathematical Physics · Physics 2020-02-03 M. A. Gonzalez Leon , J. Mateos Guilarte , M. de la Torre Mayado

Quantum foundations are still unsettled, with mixed effects on science and society. By now it should be possible to obtain consensus on at least one issue: Are the fundamental constituents fields or particles? As this paper shows,…

History and Philosophy of Physics · Physics 2015-06-04 Art Hobson
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