The exact radiation-reaction equation for a classical charged particle

Details The exact radiation-reaction equation for a classical charged particle The exact radiation-reaction equation for a classical charged particle

2008-07-11

arxiv.org/abs/0807.1819v1

Physics

Classical Physics

Contributed paper at RGD26 (Kyoto, Japan, July 2008)

Scientific paper

10.1063/1.3076465

An unsolved problem of classical mechanics and classical electrodynamics is the search of the exact relativistic equations of motion for a classical charged point-particle subject to the force produced by the action of its EM self-field. The problem is related to the conjecture that for a classical charged point-particle there should exist a relativistic equation of motion (RR equation) which results both non-perturbative, in the sense that it does not rely on a perturbative expansion on the electromagnetic field generated by the charged particle and non-asymptotic, i.e., it does not depend on any infinitesimal parameter. In this paper we intend to propose a novel solution to this well known problem, and in particular to point out that the RR equation is necessarily variational. The approach is based on two key elements: 1) the adoption of the relativistic hybrid synchronous Hamilton variational principle recently pointed out (Tessarotto et al, 2006). Its basic feature is that it can be expressed in principle in terms of arbitrary "hybrid" variables (i.e., generally non-Lagrangian and non-Hamiltonian variables); 2) the variational treatment of the EM self-field, taking into account the exact particle dynamics.

Affiliated with

Also associated with

No associations

Rating

The exact radiation-reaction equation for a classical charged particle does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The exact radiation-reaction equation for a classical charged particle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The exact radiation-reaction equation for a classical charged particle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-575872