Motion of Spin 1/2 Massive Particle in a Curved Spacetime

TL;DR

This paper develops a quasi-classical model for the motion of spin 1/2 massive particles in curved spacetime, aligning with classical spinning particle dynamics described by Papapetrou equations.

Contribution

It introduces a simple Lagrangian model based on analogy with massive vector particles to describe spin 1/2 particles in curved spacetime.

Findings

Equations of motion match Papapetrou equations.

Spin propagation behavior is consistent with classical descriptions.

Provides a unified Lagrangian framework for spin and trajectory analysis.

Abstract

Quasi-classical picture of motion of spin 1/2 massive particle in a curved spacetime is built on base of simple Lagrangian model. The one is constructed due to analogy with Lagrangian of massive vector particle. Equations of motion and spin propagation coincide with Papapetrou equations describing dynamic of classical spinning particle in a curved spacetime.