On The Relativistic Classical Motion of a Radiating Spinning Particle in a Magnetic Field

TL;DR

This paper develops classical equations of motion for a spinning charged particle in a magnetic field, incorporating radiation reaction, and demonstrates energy loss in spin-polarized synchrotron motion, addressing issues of dissipation and runaway solutions.

Contribution

It generalizes the Landau-Lifshitz equations to include spin and radiation reaction, providing a more accurate classical model for spinning charged particles.

Findings

Particle loses energy in synchrotron motion with spin.

The model predicts dissipation where previous models did not.

Addresses runaway solutions present in earlier equations.

Abstract

We propose classical equations of motion for a charged particle with magnetic moment, taking radiation reaction into account. This generalizes the Landau-Lifshitz equations for the spinless case. In the special case of spin-polarized motion in a constant magnetic field (synchrotron motion) we verify that the particle does lose energy. Previous proposals did not predict dissipation of energy and also suffered from runaway solutions analogous to those of the Lorentz-Dirac equations of motion.