Relativistic dynamics of a charged sphere : updating the Lorentz-Abraham model

  title={Relativistic dynamics of a charged sphere : updating the Lorentz-Abraham model},
  author={Arthur D. Yaghjian},
  journal={Lecture Notes in Physics},
  • A. Yaghjian
  • Published 1 February 1992
  • Physics
  • Lecture Notes in Physics
Abstract : The primary purpose of this work is to determine an equation of motion for the classical Lorentz model of the electron that is consistent with causal solutions to the Maxwell-Lorentz equations, the relativistic generalization of Newton's second law of motion, and Einstein's mass-energy relation. The work begins by reviewing the contributions of Lorentz, Abraham, Poincare, and Schott to this century-old problem of finding the equation of motion of an extended electron. Their original… 
Explicit mass renormalization and consistent derivation of radiative response of classical electron
Abstract The radiative response of the classical electron is commonly described by the Lorentz–Abraham–Dirac (LAD) equation. Dirac’s derivation of this equation is based on energy and momentum
Dynamics of a charged particle.
  • F. Rohrlich
  • Physics, Medicine
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2008
Using physical arguments, I derive the physically correct equations of motion for a classical charged particle from the Lorentz-Abraham-Dirac equations (LAD) which are well known to be physically
Exact solution of the EM radiation-reaction problem for classical finite-size and Lorentzian charged particles
Abstract.An exact solution is given to the classical electromagnetic (EM) radiation-reaction (RR) problem, originally posed by Lorentz. This refers to the dynamics of classical non-rotating and
Reduced-order Abraham-Lorentz-Dirac equation and the consistency of classical electromagnetism
It is widely believed that classical electromagnetism is either unphysical or inconsistent, owing to pathological behavior when self-force and radiation reaction are non-negligible. We argue that
Equivalence Between Self-energy and Self-mass in Classical Electron Model
A cornerstone of physics, Maxwell‘s theory of electromagnetism, apparently contains a fatal flaw. The standard expressions for the electromagnetic field energy and the self-mass of an electron of
Absence of a consistent classical equation of motion for a mass-renormalized point charge.
  • A. Yaghjian
  • Medicine, Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2008
The restrictions of analyticity, relativistic (Born) rigidity, and negligible O(a) terms involved in the evaluation of the self-electromagnetic force on an extended charged sphere of radius a are
Self-forces on extended bodies in electrodynamics
In this paper, we study the bulk motion of a classical extended charge in flat spacetime. A formalism developed by W. G. Dixon is used to determine how the details of such a particle's internal
Effects of radiation reaction in relativistic laser acceleration
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
Relativistic Dynamics of Accelerating Particles Derived from Field Equations
In relativistic mechanics the energy-momentum of a free point mass moving without acceleration forms a four-vector. Einstein’s celebrated energy-mass relation E=mc2 is commonly derived from that
Dynamics of Charged Particles and Their Radiation Field: Classical theory
This book provides a self-contained and systematic introduction to classical electron theory and its quantization nonrelativistic quantum electrodynamics. The first half of the book covers the


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