Degenerate wave-like solutions to the Dirac equation for massive particles

TL;DR

This paper introduces a new class of degenerate solutions to the Dirac equation where particle spin rotation synchronizes with electromagnetic wave rotation, independent of field intensity, depending only on frequency related to particle mass.

Contribution

It presents a novel class of solutions to the Dirac equation linking spin dynamics with electromagnetic wave frequency, relevant for high-energy photon interactions.

Findings

Solutions depend on wave frequency, not intensity.

Particle spin rotation synchronizes with electromagnetic wave rotation.

Frequency relates to particle mass, in the Gamma/X-ray region.

Abstract

In this work we provide a novel class of degenerate solutions to the Dirac equation for massive particles, where the rotation of the spin of the particles is synchronized with the rotation of the magnetic field of the wave-like electromagnetic fields corresponding to these solutions. We show that the state of the particles does not depend on the intensity of the electromagnetic fields but only on their frequency, which is proportional to the mass of the particles and lies in the region of Gamma/X-rays for typical elementary charged particles, such as electrons and protons. These novel theoretical results could play an important role in plasma physics, astrophysics, and other fields of physics, involving the interaction of charged particles with high energy photons.