Derivation of Generalized Thomas-Bargmann-Michel-Telegdi Equation for a Particle with Electric Dipole Moment

TL;DR

This paper derives a generalized classical equation describing the spin dynamics of particles with both magnetic and electric dipole moments in electromagnetic fields, including specific equations for storage ring scenarios.

Contribution

It provides a new generalized equation of spin motion for particles with electric dipole moments, extending previous models.

Findings

Derived a classical spin motion equation for particles with electric dipole moments.

Obtained an equation for spin motion relative to momentum in storage rings.

Extended the Thomas-Bargmann-Michel-Telegdi framework to include electric dipole effects.

Abstract

General classical equation of spin motion is explicitly derived for a particle with magnetic and electric dipole moments in electromagnetic fields. Equation describing the spin motion relatively the momentum direction in storage rings is also obtained.