Institute for Condensed Matter Physics of NAS of Ukraine
1 Svientsitsky Str., Lviv, UA-79011 Ukraine
E-mail: tretyak@icmp.lviv.ua

Motion of interacting charged particles with accounting radiation reaction in weakly relativistic approximation

Abstract:
Equation of motion for the system of charged particles accounting both the interparticle interaction and the radiation reaction is considered in weakly relativistic approximation (up to the order 1/c^3). It is investigated the possibility for construction of the canonical particle variables ensuring the transition to the Hamiltonian description of the equations. The problem of conservation laws for the system is also discussed