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Radiation-reaction in the interaction of ultra-relativistic electrons with a strong external electromagnetic field is investigated using a kinetic approach in the weakly quantum regime ($\chi \lesssim 1$, with $\chi$ the electron quantum…

Plasma Physics · Physics 2018-05-02 F. Niel , C. Riconda , F. Amiranoff , R. Duclous , M. Grech

From the development of the electron theory by H. A. Lorentz in 1906, many authors have tried to reformulate this model named "radiation reaction". P. A. M. Dirac derived the relativistic-classical electron model in 1938, which is now…

Plasma Physics · Physics 2015-02-04 Keita Seto

General relativistic quantum dynamics of twisted (vortex) Dirac particles is constructed. The Hamiltonian and equations of motion in the Foldy-Wouthuysen representation are derived for a twisted relativistic electron in arbitrary electric…

Classical Physics · Physics 2019-02-20 Alexander J. Silenko , Pengming Zhang , Liping Zou

The density matrix in the Lindblad form is used to describe the behavior of the Free-Electron Laser (FEL) operating in a quantum regime. The detrimental effects of the spontaneous emission on coherent FEL operation are taken into account.…

Accelerator Physics · Physics 2018-12-26 H. Fares , G. R. M. Robb , N. Piovella

An accelerated charged particle emits electromagnetic radiation. If the driving force is sufficiently strong, the radiated energy becomes comparable to the kinetic energy of the particle and the back-action of the emitted radiation…

High Energy Physics - Experiment · Physics 2020-09-23 Christian F. Nielsen , Jens B. Justesen , Allan H. Sørensen , Ulrik I Uggerhøj , Robert Holtzapple

Various classical models of electrons including their spin degrees of freedom are commonly applied to describe the electron dynamics in strong electromagnetic fields. We demonstrate that different models can lead to different or even…

Plasma Physics · Physics 2017-04-12 Meng Wen , Christoph H. Keitel , Heiko Bauke

Accelerated charges emit electromagnetic radiation and the consequent energy-momentum loss alters their trajectory. This phenomenon is known as radiation reaction and the Landau-Lifshitz (LL) equation is the classical equation of motion of…

High Energy Physics - Phenomenology · Physics 2021-07-14 A. Di Piazza , G. Audagnotto

The goal of this paper is twofold: to explore the response of classical charges to electromagnetic force at the level of unity in natural units and to establish a criterion that determines physical parameters for which the related…

High Energy Physics - Phenomenology · Physics 2010-12-23 Y. Hadad , L. Labun , J. Rafelski , N. Elkina , C. Klier , H. Ruhl

A kinetic theory is developed to describe radiating electrons whose motion is governed by the Lorentz-Dirac equation. This gives rise to a generalized Vlasov equation coupled to an equation for the evolution of the physical submanifold of…

Mathematical Physics · Physics 2015-06-11 A. Noble , J. Gratus , D. A. Burton , D. A. Jaroszynski

The Landau-Lifshitz equation provides an efficient way to account for the effects of radiation reaction without acquiring the non-physical solutions typical for the Lorentz-Abraham-Dirac equation. We solve the Landau-Lifshitz equation in…

Plasma Physics · Physics 2014-01-31 N. V. Elkina , A. M. Fedotov , C. Herzing , H. Ruhl

The behavior of an electron spin interacting with a linearly polarized laser field is analyzed. In contrast to previous considerations of the problem, the initial state of the electron represents a localized wave packet, and a spatial…

Quantum Physics · Physics 2020-08-12 I. A. Aleksandrov , D. A. Tumakov , A. Kudlis , V. M. Shabaev , N. N. Rosanov

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

When the parameters of electron - extreme power laser interaction enter the regime of dominated radiation reaction, the electron dynamics changes qualitatively. The adequate theoretical description of this regime becomes crutially important…

Classical Physics · Physics 2013-05-29 Sergei V. Bulanov , Timur Zh. Esirkepov , Masaki Kando , James K. Koga , Stepan S. Bulanov

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

In the study of the electronic structure of heavy atoms, relativistic effects cannot be neglected and the Dirac operator naturally appears in place of the Schr\"odinger operator, raising a number of additional difficulties. The complexity…

Analysis of PDEs · Mathematics 2025-02-18 Umberto Morellini

Using Dirac equation together with the Wigner distribution function,the trembling motion,known as Zitterbewegung effect,of moving electrons in quasi-one-dimensional relativistic quantum plasma is theoretically investigated.The relativistic…

Plasma Physics · Physics 2021-09-29 Safura Nematizadeh Juneghani , Babak Shokri

While the Landau-Lifshitz equation, which describes classical radiation reaction, can be solved exactly and analytically for a charged particle accelerated by a plane electromagnetic wave, no such solutions are available for quantum…

Plasma Physics · Physics 2024-02-28 T. G. Blackburn

The dynamics of relativistic electrons interacting with a laser pulse in a plasma wave has been investigated theoretically and numerically based on the classical Landau-Lifshitz equation. There exists a convergent trajectory of electrons…

Plasma Physics · Physics 2024-08-19 Bin Liu , Bifeng Lei , Matt Zepf , Xueqing Yan

A procedure to calculate the radiation spectrum emitted by an arbitrarily prepared Dirac wave packet is developed. It is based on the Dirac charge current and classical electrodynamic theory. Apart from giving absolute intensity values, it…

Atomic Physics · Physics 2009-11-10 Guido R. Mocken , Christoph H. Keitel

The main features of radiation by relativistic electrons are well approximated in the Weizsacker-Williams method of virtual quanta. This method is best known for its application to radiation during elementary particle collisions, but is…

Classical Physics · Physics 2007-05-23 Max S. Zolotorev , Kirk T. McDonald
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