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Motion of a charged particle in uniform magnetic field has been studied in detail, classically as well as quantum mechanically. However, classical dynamics of a charged particle in non-uniform magnetic field is solvable only for some…

Quantum Physics · Physics 2020-06-08 Ranveer Kumar Singh

It is shown how point charges and point dipoles with finite self-energies can be accomodated into classical electrodynamics. The key idea is the introduction of constitutive relations for the electromagnetic vacuum, which actually mirrors…

Classical Physics · Physics 2007-05-23 S. M. Blinder

We address nonsequential double ionization induced by strong, linearly polarized laser fields of only a few cycles, considering a physical mechanism in which the second electron is dislodged by the inelastic collision of the first electron…

Atomic Physics · Physics 2009-11-10 C. Figueira de Morisson Faria , X. Liu , A. Sanpera , M. Lewenstein

A system of two initially homogeneous, physically real fields uniformly attracted to each other is considered as the simplest basis of the self-developing world structure. It is shown that the system is unstable against periodic cycles of…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

The paper considers the semiclassical dynamics of electrons on complex Fermi surfaces in the presence of strong magnetic fields. The reconstructions of the general topological structure of such dynamics are accompanied by the appearance of…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 A. Ya. Maltsev

The quantum dynamics of an electron in a uniform magnetic field is studied for geometries corresponding to integrable cases. We obtain the uniform asymptotic approximation of the WKB energies and wavefunctions for the semi-infinite plane…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Spehner , R. Narevich , E. Akkermans

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

The singularities of the electromagnetic field are derived to include all the point-like multipoles representing an electric charge and current distribution. Partial results obtained in a previous paper are completed to represent accurately…

Classical Physics · Physics 2010-01-26 Constantin Vrejoiu , Roxana Zus

Nearly all field theories suffer from singularities when particles are introduced. This is true in both classical and quantum physics. Classical field singularities result in the notorious self-force problem, where it is unknown how the…

Classical Physics · Physics 2015-12-01 Yaron Hadad , Eliahu Cohen , Ido Kaminer , Avshalom C. Elitzur

A systematic formalism for quantum electrodynamics in a classical uniform magnetic field is discussed. The first order radiative correction to the ground state energy of an electron is calculated. This then leads to the anomalous magnetic…

High Energy Physics - Theory · Physics 2007-05-23 Jun Suzuki

In the recent years there was published some papers in which the photons are represented as electromagnetic solitons [1,2,3]. All particles - solitons - represent some electromagnetic field restricted in a very small volume, length,…

Atomic Physics · Physics 2007-05-23 Pavel S. Kamenov

We have developed new methods to calculate dispersion curves (analytically in the simpler cases) from which we are able to derive the spatial distribution of electron and current densities. We investigate the case where the magnetic field…

Condensed Matter · Physics 2009-10-28 E. Hofstetter , J. M. C. Taylor , A. MacKinnon

The classical drift motion of electrons in crossed electric and magnetic fields provides an interesting example of a system with an on average constant velocity -- despite the presence of an electric field. This drift-velocity depends…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tobias Kramer

A physically transparent and mathematically simple semiclassical model is employed to examine dynamics in the central-spin problem. The results reproduce a number of previous findings obtained by various quantum approaches and, at the same…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Tomasz Dietl

We study the semiclassical dynamics of interacting electrons in a biased crystal lattice. A complex dynamical scenario emerges from the interplay between the Coulomb and the external electric fields. When the electrons are far apart, the…

Strongly Correlated Electrons · Physics 2013-06-27 Christopher Gaul , Antonio Rodríguez , Rodrigo P. A. Lima , Francisco Domínguez-Adame

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

We present a pedagogical review of old inconsistencies of Classical Electrodynamics and of some new ideas that solve them. Problems with the electron equation of motion and with the non-integrable singularity of its self-field energy tensor…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

Based on quantum theory, we investigate the distribution of the electrons scattered in nonlinear Compton effect by an electromagnetic plane wave. Deviations of the final electron momentum from its initial value are solely due to quantum…

Atomic Physics · Physics 2015-06-05 Madalina Boca , Victor Dinu , Viorica Florescu

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 unified and fully relativistic treatment of the interaction of the electric and magnetic dipole moments of a particle with the electromagnetic field is given. New forces on the particle due to the combined effect of electric and magnetic…

High Energy Physics - Theory · Physics 2009-10-31 Jeeva S. Anandan