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

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.

In this version we have slightly extended our article, including some remarks regarding the potential applications of our results in the fields of plasma physics and astrophysics

References in corpus (7)

• Out-of-equilibrium criticalities in graphene superlattices
• First experimental search for production of magnetic monopoles via the Schwinger mechanism
• Solution of the Dirac equation in the rotating Bertotti-Robinson spacetime
• Degenerate solutions to the massless Dirac and Weyl equations and a proposed method for controlling the quantum state of Weyl particles
• On the remarkable properties of Weyl particles
• Degenerate solutions to the Dirac equation for massive particles and their applications in quantum tunneling
• A general method for obtaining degenerate solutions to the Dirac and Weyl equations and a discussion on the experimental detection of degenerate states