@article{oai:repo.qst.go.jp:00085030,
 author = {Maruyama, Tomoyuki and Hayakawa, Takehito and Kajino, Toshitaka and Myung-Ki, Cheoun and Takehito, Hayakawa},
 journal = {Physics Letters B},
 month = {Nov},
 note = {Light vortices carrying large angular momenta are interesting for fundamental physics study and applications. Recently, the phase structure of high-order harmonic radiations from spiral motion electrons under magnetic felds was
calculated in classical electromagnetism [9]; this result suggests that a l-th harmonic photon is the photon vortex carrying lℏ total angular momentum. However, the problem of whether each single photon has a wave-function of a photon vortex has been an open question in quantum level. Here we show the photon generated by high-order harmonic radiations from a spiral motion electron under uniform magnetic felds is the photon vortex with the Bessel wave-function in quantum mechanics. We also present the decay widths from electrons in Landau levels and the energy spectra. The present result suggests a possibility that photon vortices are predominantly generated in astrophysical environments with strong magnetic felds such as magnetars or magnetized accretion disks around black holes.},
 title = {Generation of photon vortex by synchrotron radiation from electrons in Landau states under astrophysical magnetic fields},
 volume = {826},
 year = {2021}
}