Relativistic Anyon Beam: Construction and Properties

Article Type

Research Article

Publication Title

Physical Review Letters

Abstract

Motivated by recent interest in photon and electron vortex beams, we propose the construction of a relativistic anyon beam. Following Jackiw and Nair [R. Jackiw and V. P. Nair, Phys. Rev. D 43, 1933 (1991).PRVDAQ0556-282110.1103/PhysRevD.43.1933] we derive an explicit form of the 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 an anyon beam.

DOI

10.1103/PhysRevLett.123.164801

Publication Date

10-17-2019

Comments

Open Access, Hybrid Gold, Green

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