Relativistic Anyon Beam: Construction and Properties
arXiv:1902.01058 · doi:10.1103/PhysRevLett.123.164801
Abstract
Motivated by recent interest in photon and electron vortex beams, we propose the construction of a relativistic anyon beam. Following Jackiw and Nair [Phys. Rev. D 43, 1933 (1991)] we derive explicit form of relativistic plane wave solution of a single anyon. Subsequently we construct the planar anyon beam by superposing these solutions. Explicit expressions for the conserved anyon current are derived. Finally, we provide expressions for the anyon beam current using the superposed waves and discuss its properties. We also comment on the possibility of laboratory construction of anyon beam.
Thoroughly revised and extended version, new references added. Accepted for publication in Physical Review Letters