2019/02/26 by Yeong Deok Han, Han, Yeong Deok, Taeseung Choi +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Quantum Physics (quant-ph) #Quantum optics and atomic interactions
paper · pdf · doi:10.48550/arxiv.1902.09805
openalex publication_date 2019/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have studied the phase singularity of the relativistic vortex beams for\nthe two sets of relativistic operators. One includes the new spin and orbital\nangular momentum (OAM) operators, which is derived from the parity-extended\nPoincar 'e group, and the other is composed of the (usual) Dirac spin and OAM\noperators. The first set predicts the same singular circulation as the\nnonrelativistic vortex beams. On the other hand, the second set anticipates\nthat the singularity of the circulation is spin orientation-dependent and can\nbe disappeared especially for relativistic paraxial electron beam with spin\nparallel to the propagating direction. These contradistinctive predictions\nsuggest the relativistic electron beam experiment with spin-polarized electrons\nfor the first time to answer the long-standing fundamental question, i.e., what\nare the proper relativistic observables, raised from the beginning of\nrelativistic quantum mechanics since the discovery of the Dirac equation.\n