Lienard-Wiechert Potentials due to a 'classically' spinning point-charge in Non-Relativistic arbitrary motion

TL;DR

This paper derives Li'enard-Wiechert potentials for a non-relativistically moving and spinning point-charge, revealing correction terms linked to the particle's classical spin, thus extending classical electromagnetic theory.

Contribution

It introduces a derivation of LW potentials that incorporate the effects of classical spin and rotational motion in a non-relativistic context, including the point-particle limit.

Findings

LW potentials include additional spin-dependent correction terms

Rotation effects modify the classical electromagnetic potentials

Expressions reduce to standard LW potentials when spin effects are neglected

Abstract

Li'enard-Wiechert potentials have been derived for a moving and 'classically' spinning point-charge; assuming it to be a small rigid charged-sphere in combined non-relativistic translational and rotational motion, and subsequently reducing its dimensions to 'point-particle' limit. The paper demonstrates that when the effect of rotation were taken into account, together with causality, expressions for the LW potentials accompany additional correction terms that contain spin-angular-momentum (or simply the 'classical-spin') of the point-charge.