Order reductions of Lorentz - Dirac-like equations

@article{Aguirregabiria1997OrderRO,
  title={Order reductions of Lorentz - Dirac-like equations},
  author={Juan M. Aguirregabiria and A. Hern'andez and M Rivas},
  journal={Journal of Physics A},
  year={1997},
  volume={30}
}
We discuss the phenomenon of pre-acceleration in the light of a method of successive approximations used to construct the physical order reduction of a large class of singular equations. A simple but illustrative physical example is analysed to gain more insight into the convergence properties of the method. 
2 Citations
An expansion of general validity for the diffusive parameters of a charged particle in a zero-point field
The following calculations provide expressions for the drift velocity and the average diffusion coefficient, applying to diffusion in configuration space of a nonrelativistic charged particle
The Rest-Frame Darwin Potential from the Lienard–Wiechert Solution in the Radiation Gauge
Abstract In the semiclassical approximation in which the electric charges of scalar particles are described by Grassmann variables (Q2i=0, QiQj≠0), it is possible to re-express the Lienard–Wiechert

References

SHOWING 1-10 OF 21 REFERENCES
Solving forward Lorentz - Dirac-like equations
It is shown that successive approximations can be used to implement a numerical method to integrate forward the Lorentz - Dirac equation, as well as other equations with the same singular structure.
Resolution of causality violation in the classical radiation reaction.
We show that the usual derivations of the Lorentz-Dirac equation are not valid at points where the charge's path is a nonanalytic function of time, and that such points inevitably appear when the
Classical Electrodynamic Equations of Motion with Radiative Reaction
The current status of classical description of radiating bodies is summarized and classical equations of motion are presented for the motion of charged bodies. The general physical solutions for the
Regular reduction of relativistic theories of gravitation with a quadratic Lagrangian.
  • Bel, Zia
  • Mathematics, Physics
    Physical review. D, Particles and fields
  • 1985
TLDR
Using a generalization of a technique which has been used to deal with some dynamical systems, the corresponding fourth-order differential equations are reduced to second-order ones for static and spherically symmetric interior solutions with constant density.
Classical charged particles
Philosophy and Logic of Physical Theory A Short History of the Classical Theory of Charged Particles Foundations of Classical Mechanics The Maxwell-Lorentz Field Electromagnetic Radiation The Charged
Einstein equation with quantum corrections reduced to second order.
  • Parker, Simón
  • Physics, Mathematics
    Physical review. D, Particles and fields
  • 1993
TLDR
This work considers the Einstein equation with first-order (semiclassical) quantum corrections to give analytic and numerical solutions or reduced equations for particular examples, including Friedmann-Lema universes with a cosmological constant, a spherical body of constant density, and more general conformally flat metrics.
Does back reaction enforce the averaged null energy condition in semiclassical gravity?
  • Flanagan, Wald
  • Physics
    Physical review. D, Particles and fields
  • 1996
TLDR
It is suggested that if traversable wormholes do exist as solutions to the semiclassical equations, they cannot be macroscopic but must be ``Planck scale'', in agreement with conclusions drawn by Ford and Roman from entirely independent arguments.
On the Classical Radiation of Accelerated Electrons
This paper is concerned with the properties of the radiation from a high energy accelerated electron, as recently observed in the General Electric synchrotron. An elementary derivation of the total
Applications of Electrodynamics in Theoretical Physics and Astrophysics
The Hamiltonian approach to electrodynamics radiation reaction uniformly accelerated charges radiation emitted by relativistic and non-relativistic moving particles synchrotron radiation
J. Phys. A
  • J. Phys. A
  • 1997
...
1
2
3
...