The angular momentum of electron radiation in a uniform magnetic field

Abstract

We study theoretically by means of quantum electrodynamics the vortex radiation of a relativistic electron in a uniform magnetic field. The exact expressions for the probability of emission of a photon with a certain angular momentum are found. The classical asymptotics $\hslash \to 0$ of this probability does not match the angular momentum flux density calculated by the classical method using the symmetrized energy-momentum tensor. Although the flux of angular momentum integrated over the radiation directions is the same in both cases. We found the angular momentum flux of the radiation field using the canonical (not symmetrized) energy-momentum tensor and showed that the flux obtained in this way coincide with the classical limit for the probability of photon emission.

9 pages

References in corpus (8)

• Angular Momentum of Twisted Radiation from an Electron in Spiral Motion
• Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit
• Position and spin in relativistic quantum mechanics
• Position, spin and orbital angular momentum of a relativistic electron
• Manipulating twisted electron beams
• Gaussian and Airy wave packets of massive particles with orbital angular momentum
• Connection Between Wave Functions in the Dirac and Foldy-Wouthuysen Representations
• Dynamic structure factors of a strongly interacting Fermi superfluid near an orbital Feshbach resonance across the phase transition from BCS to Sarma superfluid

Cited by in corpus (6)

• Emission of twisted photons by a scalar charged particle in a strong magnetic field
• Emission of twisted photons by a Dirac electron in a strong magnetic field
• Unitary equivalence of twisted quantum states
• Multiplexing signals with twisted photons by a circular arc phased array
• Surface photoelectric effect by twisted photons as a source of twisted electrons
• Radiation of twisted photons in elliptical multifrequency undulators