# On the Possible Trajectories of Particles with Spin. III. Particles in the Stationary Homogeneous Electric Field

## TL;DR

This paper investigates the trajectories of spinning particles in a stationary homogeneous electric field, revealing how spin orientation affects motion and demonstrating that classical Lorentz-Einstein theory is a special case.

## Contribution

It introduces a new theoretical framework for particle trajectories with spin in electric fields, extending classical motion theories to include spin effects.

## Key findings

- Trajectories depend on spin orientation.
- Spinning particles experience unique acceleration and deflection.
- Classical Lorentz-Einstein theory is a special case of the new theory.

## Abstract

The behavior of spinning particles in the stationary homogeneous electric field is considered and trajectories are found for various spin orientations. We study the acceleration of spinning particles by an electric field, as well as the electric and magnetic deflection in constant homogeneous fields. It is shown that the classical Lorentz-Einstein theory of motion of charged particles is a special case of the proposed theory