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The behavior of relativistic particles in an electric and/or magnetic field is considered in the general case when the direction of propagation may differ from the direction of the field. A special attention is paid to the spin splitting…

Quantum Physics · Physics 2013-05-01 Tihomir G. Tenev , Nikolay V. Vitanov

This paper uses elementary techniques drawn from renormalization theory to derive the Lorentz-Dirac equation for the relativistic classical electron from the Maxwell-Lorentz equations for a classical charged particle coupled to the…

Classical Physics · Physics 2015-06-05 Charles W. Nakhleh

Several experimental groups have recently obtained the so called vortex electrons (electrons with orbital angular momentum (OAM) of l = 100h) with energies of 300 keV. The gyromagnetic ratio of such electrons becomes proportional to the OAM…

Accelerator Physics · Physics 2014-10-16 Anatoly S. Konkov , Alexander P. Potylitsyn , Marina S. Polonskaya

When accelerated by a constant force in the lab frame, a classical charge experiences no self force. In this case, the particle radiates without dissipating its kinetic and potential energy. But what happens when the particle enters another…

Classical Physics · Physics 2019-05-01 Yuan Shi

The Barut--Zanghi (BZ) theory can be regarded as the most satisfactory picture of a classical spinning electron and constitutes a natural "classical limit" of the Dirac equation. The BZ model has been analytically studied in some previous…

High Energy Physics - Theory · Physics 2009-10-31 Giovanni Salesi , Erasmo Recami

A model detector undergoing constant, infinite-duration acceleration converges to an equilibrium state described by the Hawking-Unruh temperature $T_a=(a/2\pi)(\hbar/c)$. To relate this prediction to experimental observables, a point-like…

High Energy Physics - Phenomenology · Physics 2022-06-08 B. M. Hegelich , L. Labun , O. Z. Labun , G. Torrieri , H. Truran

We consider the 1-D motion of an electron under a periodic force and taking into account the effect of radiation reaction dissipation force on its motion, using the formulation of the radiation reaction force as a function of the external…

Classical Physics · Physics 2019-02-19 Gustavo V. López , Jorge Lizarraga

Using the framework of semi-classical Landau-Lifshitz dynamics (LLD), we conduct a systematic investigation of the temperature-dependent spin dynamics in the S = 1/2 Heisenberg square-lattice antiferromagnet (SqAF). By performing inelastic…

The formalism of Operational Dynamical Modeling [Phys. Rev. Lett. {\bf 109}, 190403 (2012)] is employed to analyze dynamics of spin half relativistic particles. We arrive at the Dirac equation from specially constructed relativistic…

Quantum Physics · Physics 2019-02-14 Renan Cabrera , Andre Campos , Herschel A. Rabitz , Denys I. Bondar

Radiation reaction has been investigated traditionally in classical dynamics and recently in non-linear QED for high-intensity field physics by high-intensity lasers. The non-linearity of QED is predicted as the coupling between a highly…

Mathematical Physics · Physics 2017-08-25 Keita Seto

The dynamics of relativistic particles in an intense electromagnetic field can be described by the Landau-Lifshitz (LL) equation, where the adiation reaction (RR) is accounted for via a self-force, and interparticle fields are often…

Plasma Physics · Physics 2025-06-09 Michael J. Quin , Antonino Di Piazza , Christoph H. Keitel , Matteo Tamburini

Radiation force in Abraham-Lorentz-Dirac equation is revisited for possible signature of irreversible action in the dynamics. The analysis shows that the classical electron can dissipate out a certain fraction of field energy that…

Classical Physics · Physics 2021-01-21 D. Das

A Lorentz invariant formalism for quasi-classical description of electromagnetic radiation from a neutral spin 1/2 particle with an anomalous magnetic moment moving in an external electromagnetic field is developed. In the high symmetry…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. E. Lobanov

A theoretical model based on the Landau-Lifshitz-Bloch equation is developed to study the spin-torque effect in ferrimagnets. Experimental findings, such as the temperature dependence, the peak in spin torque, and the angular-momentum…

Materials Science · Physics 2018-11-21 Zhifeng Zhu , Xuanyao Fong , Gengchiau Liang

The electron spin degree of freedom can play a significant role in relativistic scattering processes involving intense laser fields. In this contribution we discuss the influence of the electron spin on (i) Kapitza-Dirac scattering in an…

High Energy Physics - Phenomenology · Physics 2013-08-05 S. Ahrens , T. O. Müller , S. Villalba-Chávez , H. Bauke , C. Müller

The effect of the relativistic spin rotation, conditioned by the setting of the spin in the rest frame of a particle and by the noncommutativity of the Lorentz transformations along noncolinear directions, is discussed. In connection with…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Lednicky , V. L. Lyuboshitz , V. V. Lyuboshitz

We study the motion of a charged particle with magnetic moment in external electromagnetic fields utilizing covariant unification of Gilbertian and Amperian descriptions of particle magnetic dipole moment. Considering the case of a current…

Classical Physics · Physics 2021-06-04 Martin Formanek , Andrew Steinmetz , Johann Rafelski

The electronic structure (electron charges and spins) of a perfect crystal under external magnetic field is analyzed using the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model. An extension of the classical Cauchy-Born rule for…

Mathematical Physics · Physics 2011-03-01 Weinan E , Jianfeng Lu

The relativistic Foldy-Wouthuysen transformation is used for an advanced description of planar graphene electrons in external fields and free (2+1)-space. It is shown that the initial Dirac equation should by based on the usual $(4\times4)$…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Alexander J. Silenko

We present a practical semiclassical method for computing the electron spin dynamics of a radical in which the electron spin is hyperfine coupled to a large number of nuclear spins. This can be used to calculate the singlet and triplet…

Chemical Physics · Physics 2014-07-09 David E. Manolopoulos , P. J. Hore