3D transformation for rotating frames and temporal behavior of spin in rotating electromagnetic fields

TL;DR

This paper derives a 3D transformation for rotating frames based on Dirac equation invariance, finds exact localized solutions in rotating electromagnetic fields, and analyzes the temporal behavior of spin in these solutions.

Contribution

It introduces a novel 3D transformation for rotating frames and provides exact solutions of the Dirac equation in rotating electromagnetic fields with analysis of spin dynamics.

Findings

Exact localized solutions of the Dirac equation in rotating fields

Unusual properties of these solutions

Temporal spin behavior in rotating electromagnetic environments

Abstract

The Dirac equation is invariant under rotations with a constant frequency and invariable cylindrical radius. 3D transformation for rotating frames is found with help of this invariance. Exact localized solutions of the Dirac equation in the field of a traveling circularly polarized electromagnetic wave and constant magnetic field exist and possess unusual properties. Temporal changes of spin pertaining to the solutions are studied.