Abstract
One of remarkable features for light vortices is that a single photon could have a vortex wave-function in quantum level. We present the process generates a photon vortex with Bessel wave-function, and calculate the decay widths from an electron in Landau levels and the energy spectra of emitted photons. The present result suggests a possibility that photon vortices are predominantly generated in astrophysical environments with strong magnetic fields.
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