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It is demonstrated, owing to the nonlinearity of QED, that a static charge placed in a strong magnetic field\ $B$\ is a magnetic dipole (besides remaining an electric monopole, as well). Its magnetic moment grows linearly with $B$ as long…

High Energy Physics - Theory · Physics 2014-03-04 T. C. Adorno , D. M. Gitman , A. E. Shabad

The general classical equation of spin motion is rigorously derived for a particle with electric and magnetic charges and dipole moments in electromagnetic fields. The equation describing the spin motion relative to the momentum direction…

High Energy Physics - Phenomenology · Physics 2024-09-25 Alexander J. Silenko

Electric and magnetic fields of fractal distribution of charged particles are considered. The fractional integrals are used to describe fractal distribution. The fractional integrals are considered as approximations of integrals on…

Plasma Physics · Physics 2015-06-26 Vasily E. Tarasov

After a systematic introduction of some formulae for the energy radiated by localized electric charges and currents, one considers the multipole radiation and the reduction of the multipole tensors to the symmetric traceless ones.

Physics Education · Physics 2007-05-23 C. Vrejoiu , D. Nicmorus

The retarded vector potential of a point magnetic dipole with an arbitrary time dependence undergoing accelerated relativistic motions is derived. A novel expression for the angular distribution of the radiated power of an arbitrary moving…

Classical Physics · Physics 2019-05-22 Seil Sautbekov

We show that it is possible to obtain self-consistent and physically acceptable relativistic classical equations of motion for a point-like spin-half particle possessing an electric charge and a magnetic dipole moment, directly from a…

High Energy Physics - Phenomenology · Physics 2015-06-25 John P. Costella , Bruce H. J. McKellar

The analytical expressions for the electromagnetic potential generated from a focusing charged particle beam are indispensable in various beam physics problems. In this article, we review the theory in detail and point out the necessary…

Accelerator Physics · Physics 2024-10-24 Yi-Kai Kan , Ji Qiang

The multipolar decomposition of current distributions is used in many branches of physics. Here, we obtain new exact expressions for the dipolar moments of a localized electric current distribution. The typical integrals for the dipole…

We derive the advection of magnetic fields due to gradients in magnetic diffusivity, starting from the magnetic induction equation. We discuss physical examples, and compare our results to those in the literature. Our induction and…

Plasma Physics · Physics 2013-09-18 E. J. Zita

We investigate the electromagnetic fields produced by the oscillating point electric or magnetic dipole placed in a spherical volume with nonzero time-independent effective axion field. Our analytical solution shows that the fields outside…

Optics · Physics 2023-05-12 Timur Seidov , Maxim Gorlach

Electromagnetic field produced by magnetic multipoles in hyperbolic motion is derived and compared with electromagnetic field produced by electric multipoles in hyperbolic motion. The resulting fields are related by duality symmetry.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Pravda , A. Pravdova

The duality relation between the electric and magnetic fields, in the presence of an additional axion-like field, is considered. We derive the new equations that describe the electrodynamics in this model, and we discuss the implications…

General Physics · Physics 2011-11-10 Luca Visinelli

A systematic description of multipole degrees of freedom is discussed on the basis of the Stevens' operator-equivalent technique. The generalized Stevens' multiplicative factors are derived for all of the electric and the magnetic…

Strongly Correlated Electrons · Physics 2011-07-26 Hiroaki Kusunose

We derive an upper limit on the electric dipole moment (EDM) of the tau-lepton, which follows from the precision measurements of the electron EDM.

High Energy Physics - Phenomenology · Physics 2009-08-05 A. G. Grozin , I. B. Khriplovich , A. S. Rudenko

The electric and magnetic fields are investigated on the basis of quantum vacuum. The analysis of the electromagnetic energy and force indicates that an electric field is a polarized distribution of the vacuum virtual dipoles, and that a…

General Physics · Physics 2009-08-22 Xing-Hao Ye

The singularities of the electromagnetic field are derived to include all the point-like multipoles representing an electric charge and current distribution. Firstly derived in the static case, the result is generalized to the dynamic one.…

Classical Physics · Physics 2015-05-14 C. Vrejoiu , R. Zus

We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , John B. Delos

The singularities of the electromagnetic field are derived to include all the point-like multipoles representing an electric charge and current distribution. We show that for higher orders, it is more efficient to have fields represented in…

Classical Physics · Physics 2010-06-04 C Vrejoiu , R Zus

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

In "Classical Electrodynamics" (Jackson) a theorem is proved on the average of an electrostatic or magnetostatic field over a spherical volume. The proof of the theorem is based on an expansion in spherical harmonics and it is useful for…

Classical Physics · Physics 2009-03-06 Patrick De Visschere