On the Possible Trajectories of Particles with Spin. II. Particles in the Stationary Homogeneous Magnetic Field

TL;DR

This paper analyzes the trajectories of spinning particles in a stationary homogeneous magnetic field, revealing that their spin aligns with the field and that helicity influences their behavior, with massless particles exhibiting increased oscillation frequency.

Contribution

It provides a comprehensive classification of particle trajectories in magnetic fields, highlighting the role of helicity and spin orientation, extending previous models to include massless particles.

Findings

Particles' spin aligns parallel or antiparallel to the magnetic field.

Helicity acts similarly to electric charge in particle behavior.

Massless particles show increased oscillation frequency in magnetic fields.

Abstract

The behavior of spinning particles in the stationary homogeneous magnetic field is considered and all types of trajectories for massive and massless particles are found. It is shown that spin of particles in a magnetic field is always arranged parallel or antiparallel to the field. Helicity $e$ plays a role of electric charge. The oscillation frequency of massless particle in a magnetic field increases.