Lienard-Wiechert potential and synchrotron radiation of a relativistic spinning particle in the pseudoclassical theory

TL;DR

This paper derives Lienard-Wiechert potentials for a relativistic spinning particle with anomalous magnetic moment, analyzing how spin influences synchrotron radiation and its polarization, with results aligning with quantum theory in certain cases.

Contribution

It provides explicit Lienard-Wiechert potentials for a relativistic spinning particle in pseudoclassical theory and explores spin effects on synchrotron radiation.

Findings

Spin affects the intensity and polarization of synchrotron radiation.

Derived formulas match quantum theory results for particles in magnetic fields.

Analyzed specific cases of particle motion and radiation characteristics.

Abstract

Lienard-Wiechert potentials of the relativistic spinning particle with anomalous magnetic moment in pseudoclassical theory are constructed. General expressions for the Lienard-Wiechert potentials are used for investigation of some specific cases of the motion of the spinning particle. In particular the spin dependence of the intensity of the synchrotron radiation of the transversely polarized particle performing uniform circular motion is considered. When the movement of the particle in external homogeneous magnetic field the obtained formulae coincide with those known from quantum theory of radiation. The dependence of the polarization of the synchrotron radiation on the spin of the particle is investigated.