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The Landau-Lifshitz equation is obtained from the Lorentz-Abraham-Dirac equation through `reduction of order'. It is the first in a divergent series of approximations that, after resummation, eliminate runaway solutions. Using Borel plane…

High Energy Physics - Phenomenology · Physics 2022-03-25 Robin Ekman

We are concerned with the study of the system of coupled equations of motion for a system of two-level atoms interacting with a single-mode field in the laser cavity on resonance. The passage from the equation of motion to the Lorenz…

Chaotic Dynamics · Physics 2014-05-13 Lazhar Bougoffa , Smail Bougouffa

A model for the motion of a charged particle in the vacuum is presented which, although purely classical in concept, yields Schrodinger's equation as a solution. It suggests that the origins of the peculiar and nonclassical features of…

Quantum Physics · Physics 2007-05-23 Mark P. Davidson

We consider the electrons of a molecule in the adiabatic time-dependent density functional theory approximation. We establish the well-posedness of the time evolution and its linear response close to a non-degenerate ground state, and prove…

Analysis of PDEs · Mathematics 2024-09-19 Mi-Song Dupuy , Eloïse Letournel , Antoine Levitt

We present the origin of the Abraham-Minkowski controversy of light-matter wave interacting system, which is a special case of the centaury-old Abraham-Minkowski controversy. We solve the controversy of laser-atom interacting case and find…

Atomic Physics · Physics 2018-12-17 Wen-Zhuo Zhang , Peng Zhang , Ru-Quan Wang , Wu-Ming Liu

After a summary of a recently proposed new type of instant form of dynamics (the Wigner-covariant rest-frame instant form), the reduced Hamilton equations in the covariant rest-frame Coulomb gauge for the isolated system of N scalar…

High Energy Physics - Theory · Physics 2014-11-18 David Alba , Luca Lusanna

The effects of radiation reaction force on laser driven auto-resonant particle acceleration scheme are studied using Landau-Lifshitz equation of motion. These studies are carried out for both linear as well as circularly polarized laser…

Plasma Physics · Physics 2016-01-20 Vikram Sagar , Sudip Sengupta , P. K. Kaw

For simple electromagnetic models of a rod and a clock, a change of the shape of the rod and of the rate of the clock when they are set in uniform motion is calculated exactly, employing the correct equation of motion of a charged particle…

Classical Physics · Physics 2015-07-01 D. V. Redzic

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

We present a stochastic theory for the nonequilibrium dynamics of charges moving in a quantum scalar field based on the worldline influence functional and the close-time-path (CTP or in-in) coarse-grained effective action method. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Philip R. Johnson , B. L. Hu

In this paper, we revisit the two theoretical approaches for the formulation of the tachyonic Dirac equation. The first approach works within the theory of restricted relativity, starting from a Lorentz invariant Lagrangian consistent with…

General Physics · Physics 2020-11-25 Luca Nanni

We present a kind of model of quantum electrodynamics with nonlocal interaction, all the action and the equations of motion of charged particle and electromagnetic field are given. The main characteristics of the theory are: the model obeys…

High Energy Physics - Theory · Physics 2011-06-08 T. Mei

In this paper, we investigate the evolution of the energy spread and the divergence of electron beams while they interact with different laser pulses at intensities where quantum effects and radiation reaction are of relevance. The…

Plasma Physics · Physics 2016-10-07 Marija Vranic , Thomas Grismayer , Ricardo A. Fonseca , Luis O. Silva

A generalized formalism of the so-called non-adiabatic quantum molecular dynamics is presented, which applies for atomic many-body systems in external laser fields. The theory treats the nuclear dynamics and electronic transitions…

Atomic Physics · Physics 2007-05-23 Thomas Kunert , Ruediger Schmidt

In recent work we presented an explicit and non-perturbative derivation of the classical radiation reaction force for a cut-off modelled by a special choice of tubes of finite radius around the charge trajectories. In this paper, we provide…

Computational Physics · Physics 2022-10-24 Christian Bild , Dirk - André Deckert , Hartmut Ruhl

We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The interaction of the particles is modeled by classical interaction…

Analysis of PDEs · Mathematics 2022-11-01 Rufat Badal , Manuel Friedrich , Joscha Seutter

We present equations of motion for charged particles using balanced equations, and without introducing explicitly divergent quantities. This derivation contains as particular cases some well known equations of motion, as the Lorentz-Dirac…

General Relativity and Quantum Cosmology · Physics 2012-03-08 Emanuel Gallo , Osvaldo M. Moreschi

The radiation reaction effects on electron dynamics in counter-propagating circularly polarized laser beams are investigated through the linearization theorem and the results are in great agreement with numeric solutions. For the first…

Plasma Physics · Physics 2016-11-09 Z. Gong , R. H. Hu , Y. R. Shou , B. Qiao , C. E. Chen , F. R. Xu , X. T. He , X. Q. Yan

We investigate the connection between the classical Larmor formula and the quantum Unruh effect by computing the emitted power by a uniformly accelerated charged particle and its angular distribution in the coaccelerated frame. We consider…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Georgios Vacalis , Atsushi Higuchi , Robert Bingham , Gianluca Gregori

Reversible reaction-diffusion systems display anomalous dynamics characterized by a power-law relaxation toward stationarity. In this paper we study in the aging regime the nonequilibrium dynamical properties of some model systems with…

Statistical Mechanics · Physics 2009-11-13 Vlad Elgart , Michel Pleimling