Alternative measurements of the fermion g-factor in the field of a traveling circularly polarized electromagnetic wave

TL;DR

This paper explores novel methods for measuring the fermion g-factor using localized fermion states in a traveling circularly polarized electromagnetic wave combined with a magnetic field, offering potential alternatives to traditional techniques.

Contribution

It introduces exact solutions to the Dirac equation for fermions in this field configuration, proposing a new approach for g-factor measurements beyond routine fermion beam methods.

Findings

Exact localized solutions of the Dirac equation are derived.

These solutions suggest alternative measurement techniques for the fermion g-factor.

Potential advantages include non-beam-based measurement methods.

Abstract

The field of a traveling circularly polarized electromagnetic wave and a constant magnetic field localizes fermions perpendicularly to propagation of the wave in the cross section of the order of the wavelength. Unusual exact solutions of the Dirac equation correspond to this localization. Except to routine use of thin fermion beams it can be suitable for alternative measurements of the g - factor. Details and peculiarities of the solutions in application to the measurements are considered in the paper.