Photon Vortex Production from Synchrotron Radiation of Electron in Relativistic Quantum Approach

Light vortices exhibit a remarkable feature: a single photon can harbor a vortex wave-function on the quantum scale. In this study, we illustrate the process behind creating a photon vortex using a Bessel wave-function. Furthermore, we calculate the decay widths stemming from an electron in Landau levels and the energy spectra of photons emitted with a non-zero orbital angular momentum along their propagation direction. The results suggest the possible presence of photon vortices in astrophysical environments distinguished by strong magnetic fields.