An AAD Model of Point Particle and the Pauli Equation

TL;DR

This paper introduces a classical relativistic AAD model for point particles that, under weak coupling, aligns with the Pauli equation, integrating spin concepts within Feynman's framework.

Contribution

It presents a novel AAD model linking classical relativistic interactions to quantum Pauli dynamics, incorporating spin through Feynman's ideas.

Findings

Model reproduces Pauli equation behavior

Integrates spin concept within classical AAD framework

Provides a pathway for quantization of point particles

Abstract

The classical relativistic linear AAD interaction, introduced by the author, leads in the case of weak coupling to a pointlike particle capable to be sub- mitted to quantization via Feynman's path integrals along the line adequate to the requirements of the Pauli equation. In the discussed nonrelativistic case of the model the concept of spin is considered within early Feynman's ideas.