The synchrotron radiation from the Volkov solution of the Dirac equation

TL;DR

This paper demonstrates how to derive the synchrotron radiation power spectrum using the Volkov solution of the Dirac equation, extends the BMT equation for spin dynamics with radiation effects, and discusses axion production in magnetic fields.

Contribution

It introduces a method to compute synchrotron radiation spectra from the Volkov solution and generalizes the BMT equation to include radiative effects, relevant for proton spin motion in accelerators.

Findings

Power spectrum of synchrotron radiation derived from Volkov solution.

Generalized BMT equation incorporating radiative spin effects.

Discussion on axion production in magnetic fields.

Abstract

The aim of this article is to show it is possible to get the power spectrum of the synchrotron radiation from the Volkov solution of the Dirac equation and the S-matrix. We also generalize the Bargmann-Michel-Telegdi equation for the spin motion in case it involves the radiative term. This equation can play crucial role for the spin motion of protons in LHC. The axion production in the magnetic field described by the Volkov solution is discussed.