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We obtain by invariance arguments the relativistic and non-relativistic invariant dynamical equations of a classical model of a spinning electron. We apply the formalism to a particular classical model which satisfies Dirac's equation when…

Classical Physics · Physics 2008-11-26 Martin Rivas

Magnetic effects on free electron systems have been studied extensively in the context of spin-to-orbital angular momentum conversion. Starting from the Dirac equation, we derive a fully relativistic expression for the energy of free…

Quantum Physics · Physics 2018-06-19 P. Kurian

We consider in a quantum field theory framework the effects of a classical magnetic field on the spin and orbital angular momentum (OAM) of a free electron. We derive formulae for the changes in the spin and OAM due to the introduction of a…

Quantum Physics · Physics 2016-01-20 P. Kurian , C. Verzegnassi

In this work, the action of the relativistic electron is derived from the hydrodynamic formulation of the Dirac equation. In particular, in the hydrodynamic scenario, the four-velocity of the electron is regarded as an Eulerian field and…

Quantum Physics · Physics 2023-09-12 Loris D'Alessi

Upcoming experiments on the interaction of electrons with intense laser fields are envisaged to become more and more accurate, which calls for theoretical computations of rates and probabilities with correspondingly higher precision. In…

High Energy Physics - Phenomenology · Physics 2021-10-13 A. Di Piazza , T. Pătuleanu

Recent interest in orbital angular momentum has led to a rapid expansion of research on spin-orbit coupling effects in solids, while also highlighting significant technical challenges. The breaking of rotational symmetry renders the orbital…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 Bumseop Kim , Noejung Park , Kyoung-Whan Kim

A covariant relativistic formalism for the electron-photon and nuclear dynamics is summarised making more accurate predictions in agreement with experiments for Compton scattering in shells with large electron binding energy. An exact…

History and Philosophy of Physics · Physics 2017-04-27 Salwa Alsaleh

It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special relativity and Hamilton's Principle. The instantaneous nature of the Coulomb force…

Classical Physics · Physics 2007-05-23 J. H. Field

The colliding between ultra-relativistic electrons and an ultra-intense laser pulse is a powerful approach to testify the physics in strong-field QED regime. By considering spin-dependent radiation-reaction during laser-electron collision…

Plasma Physics · Physics 2020-07-02 X. S. Geng , L. L. Ji , B. F. Shen , B. Feng , Z. Guo , Q. Q. Han , C. Y. Qin , N. W. Wang , W. Q. Wang , Y. T. Wu , X. Yan , Q. Yu , L. G. Zhang , Z. Z. Xu

The electron's spin magnetic moment is ordinarily described as anomalous in comparison to what one would expect from the Dirac equation. But, what exactly should one expect from the Dirac equation? The standard answer would be the Bohr…

Quantum Physics · Physics 2025-06-23 Charles T. Sebens

We consider the motion of a spinning relativistic particle with an arbitrary value of spin in external electromagnetic and gravitational fields, to first order in the external field. We use the noncovariant description of spin. An explicit…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. A. Pomeransky , R. A. Sen'kov

A non-linear non-perturbative relativistic atomic theory introduces spin in the dynamics of particle motion. The resulting energy levels of Hydrogen atom are exactly same as the Dirac theory. The theory accounts for the energy due to…

General Physics · Physics 2014-11-26 Vikram H. Zaveri

We consider a bound system of particles interacting via electromagnetic forces in an external electromagnetic field, including leading relativistic corrections. Each particle has a definite mass, charge, spin, and charge radius. We…

Atomic Physics · Physics 2015-06-22 Albert Wienczek , Mariusz Puchalski , Krzysztof Pachucki

In this letter, we discuss the extension of Feynman's derivation of the equation of motion to the case of spinning particles. We show that a spinning particle interacts only with the electromagnetic and gravitational fields. In the absence…

High Energy Physics - Theory · Physics 2009-10-22 Chihong Chou

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

We compute the electromagnetic field created by an ultrarelativistic charged particle in vacuum at distances comparable to the particle Compton wavelength. The wave function of the particle is governed by the Klein-Gordon equation, for a…

Nuclear Theory · Physics 2018-03-14 Balthazar Peroutka , Kirill Tuchin

The total spin of correlated electrons in a quantum dot changes with magnetic field and this effect is generally linked to the change in the total angular momentum from one magic number to another, which can be understood in terms of an…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Hiroshi Imamura , Hideo Aoki , Peter A. Maksym

The motion of a system of particles under electromagnetic interaction is considered. Under the assumption that the force acting on an electric charge is given by the sum of the electromagnetic fields produced by any other charged particles…

General Physics · Physics 2007-05-23 O. Chavoya-Aceves

Quantum electrodynamics (QED) deals with the relativistic interaction of bosonic gauge fields and fermionic charged particles. In QED, global conservation laws of angular momentum for light-matter interactions are well-known. However, local…

Quantum Physics · Physics 2024-05-06 Farhad Khosravi , Li-Ping Yang , Pronoy Das , Zubin Jacob

We introduce s.n where n is the unit vector in the direction of the radius vector and s is the spin, which along with the velocity forms a spin-orbit interaction of the order of v/c whereas the usual spin-orbit interaction is of the order…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava