An Angular Formalism for Spin One Half

TL;DR

This paper develops a relativistic angular formalism for spin one half particles within the De Broglie-Bohm framework, including a Lagrangian formulation, equations of motion, and Lorentz invariance considerations.

Contribution

It introduces a new angular coordinate-based relativistic model for spin one half, with a Lagrangian approach and Lorentz invariance analysis, advancing the theoretical understanding.

Findings

A concrete angular formalism for spin one half

Derived equations of motion for the formalism

Discussed Lorentz invariance of the model

Abstract

Understanding spin one half is a crucial issue in the De Broglie Bohm framework. In this paper a concrete relativistic realization of spin one half in terms of angular coordinates is developed. A Lagrange formulation is found, equations of motion are derived, and Lorentz invariance is discussed.