On invariants for the Poincare equations and applications

TL;DR

This paper extends Noether's invariants to Poincare equations and applies this theory to Maxwell-Lorentz equations coupled with a rotating electron model, revealing new symmetry properties.

Contribution

It introduces a novel extension of Noether invariants to Poincare equations and demonstrates their application to electromagnetic and electron dynamics.

Findings

Extended Noether invariants to Poincare equations.

Applied the theory to Maxwell-Lorentz and electron models.

Revealed new symmetry properties in coupled systems.

Abstract

We extend the Noether theory of invariants to the Poincare equations. We apply this extension to the Maxwell-Lorentz equations coupled to the Abraham rotating extended electron with the configuration space SO(3).