Lagrangian description of the radiation damping

TL;DR

This paper develops a Lagrangian formalism for a charged particle experiencing radiation damping, using phase-space doubling to model the dissipative effects of its interaction with its own radiation field.

Contribution

It introduces a novel Lagrangian approach to describe radiation damping through phase-space doubling, providing a new theoretical framework for dissipative systems.

Findings

Provides a Lagrangian formalism for radiation damping

Uses phase-space doubling to model dissipation

Offers a new perspective on charged particle dynamics

Abstract

We present a Lagrangian formalism to the dissipative system of a charge interacting with its own radiation field, which gives rise to the radiation damping \cite{Heitler}, by the indirect representation doubling the phase-space dimensions.