Eur. Phys. J. C (2006) 45: 257-261
https://doi.org/10.1140/epjc/s2005-02401-0

Theoretical Physics

An alternative approach to canonical quantizationof the radiation damping

Departamento de Física, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, Brasil

^* e-mail: albert@fisica.ufjf.br

Abstract

Inspired by some works on quantization of dissipative systems, in particular the ones treating the damped harmonic oscillator and by a paper due to Lukierski, we consider the dissipative system of a charge interacting with its own radiation, which is the origin of radiation damping. Using the indirect Lagrangian representation we obtained a Lagrangian formalism with a Chern-Simons-like term. A Hamiltonian analysis is also done in commutative and non-commutative scenarios, which leads to the quantization of the system.