Relativistic Wave Equations and Compton Scattering

TL;DR

This paper applies a new eight-component relativistic wave equation to Compton scattering and finds that, despite structural differences from Dirac's equation, it yields the same Klein-Nishina cross section.

Contribution

It demonstrates that the eight-component relativistic wave equation produces the Klein-Nishina formula for Compton scattering, aligning with established results.

Findings

The new wave equation reproduces the Klein-Nishina cross section.

Structural differences do not affect the scattering cross section.

The approach validates the eight-component wave equation's consistency with quantum electrodynamics.

Abstract

The recently proposed eight-component relativistic wave equation is applied to the scattering of a photon from a free electron (Compton scattering). It is found that in spite of the considerable difference in the structure of this equation and that of Dirac the cross section is given by the Klein-Nishina formula.