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A renormalization scheme which relies on energy-momentum and angular momentum balance equations is applied to the derivation of effective equation of motion for a massless point-like charge. Unlike the massive case, the rates of radiated…

Mathematical Physics · Physics 2009-07-22 Yurij Yaremko

In classical electrodynamics, an accelerating charged body emits radiation and experiences a corresponding radiation-reaction force, or self force. We extend to higher order in the total charge a previous rigorous derivation of the…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Jordan Moxon , Éanna Flanagan

In the one-loop approximation we derive the equation of motion for a classical scalar field \phi_c (t) with the back reaction of particle production included. Renormalization of mass and couplings of \phi_c is done explicitly. The equation…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. D. Dolgov , S. H. Hansen

Relativistically covariant form of equation of motion for real particle (neutral in charge) under the action of electromagnetic radiation is derived. Various formulations of the equation of motion in the proper frame of reference of the…

Astrophysics · Physics 2007-05-23 Jozef Klacka

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

Relativistically covariant form of equation of motion for real particle (body) under the action of electromagnetic radiation is derived. Equation of motion in the proper frame of the particle uses the radiation pressure cross section 3…

Astrophysics · Physics 2007-05-23 Jozef Klacka

Radiation Reaction (RR) effects in the interaction of an ultra-intense laser pulse with a thin plasma foil are investigated analytically and by two-dimensional (2D3P) Particle-In-Cell (PIC) simulations. It is found that the radiation…

Different quantum Langevin equations obtained by coupling a particle to a field are examined. Instabilities or violations of causality affect the motion of a point charge linearly coupled to the electromagnetic field. In contrast, coupling…

Quantum Physics · Physics 2023-04-14 Marc-Thierry Jaekel , Serge Reynaud

We study quantum dynamics of a kicked relativistic spin-half particle in a one dimensional box. Time-dependence of the average kinetic energy and evolution of the wave packet are explored. Kicking potential is introduced as the…

Quantum Physics · Physics 2013-11-05 V. E. Eshniyazov , D. U. Matrasulov , J. R. Yusupov

In the derivation of synchrotron radiation formulas it has been assumed that the pitch angle of a charge remains constant during the radiation process. However from the radiation reaction formula, while the component of the velocity vector…

High Energy Astrophysical Phenomena · Physics 2016-04-01 Ashok K. Singal

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

We consider the impact of quantum effects on electron dynamics in a plane linearly polarized standing wave with relativistic amplitudes. For this purpose analysis the Lyapunov characteristic exponent spectrum with and without allowance for…

Plasma Physics · Physics 2016-10-28 A. V. Bashinov , A. V. Kim , A. M. Sergeev

In his analysis of the Classical Theory of Radiating Electrons, Dirac (1938) draws attention to the characteristic instability of solutions to the third order equation of motion. He remarks that changing the sign of the self-force…

General Physics · Physics 2016-09-30 M. A. Oliver

We investigate the radiation emitted by an ultrarelativistic electron traveling in a 1-dimensional parabolic potential. Having in mind a simplified model for beamstrahlung, we consider the realistic case of the electron motion being highly…

High Energy Physics - Phenomenology · Physics 2018-08-29 Tobias N. Wistisen , Antonino Di Piazza

We consider the quantum dynamics of a charged particle in Euclidean space subjected to electric and magnetic fields under the presence of a potential that forces the particle to stay close to a compact surface. We prove that, as the…

Mathematical Physics · Physics 2018-10-30 Gustavo de Oliveira

We obtain analytic solution of the time-independent Schrodinger equation in two dimensions for a charged particle moving in the field of an electric quadrupole. The solution is written as a series in terms of special functions that support…

Atomic Physics · Physics 2009-11-13 A. D. Alhaidari

We study a first-order formulation for the coupled evolution of a quantum scalar field and a classical Friedmann universe. The model is defined by a state dependent hamiltonian constraint and the time dependent Schr\"odinger equation for…

General Relativity and Quantum Cosmology · Physics 2021-12-20 Viqar Husain , Suprit Singh

We discuss the leading order correction to the equation of motion of a particle with spin on an arbitrary spacetime. A particle traveling in a curved spacetime is known to trace a geodesic of the background spacetime if the mass of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasushi Mino , Misao Sasaki , Takahiro Tanaka

Classical electrodynamics including classical electromagnetic zero-point radiation leads to a ground state and resonant excited states for a charged particle in a Coulomb potential. These resonant states correspond to integer values of the…

Classical Physics · Physics 2026-03-17 Timothy H. Boyer

A critical look at the Landau-Lifshitz equation, which has been recently advocated as an "exact" relativistic classical equation for the motion of a point charge with radiation reaction, demonstrates that it generally does not conserve…

Classical Physics · Physics 2007-05-23 W. E. Baylis , J. Huschilt