Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata-700 108, India.
Phys Rev Lett. 2019 Oct 18;123(16):164801. doi: 10.1103/PhysRevLett.123.164801.
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.
受光子和电子涡旋光束研究的启发，我们提出了相对论任意子束的构建方案。我们遵循 Jackiw 和 Nair 的研究[R. Jackiw 和 V. P. Nair, Phys. Rev. D 43, 1933 (1991).PRVDAQ0556-282110.1103/PhysRevD.43.1933]，推导出了单个任意子的相对论平面波解的显式形式。随后，我们通过叠加这些解来构造平面任意子束。推导出了守恒任意子电流的显式表达式。最后，我们使用叠加波给出了任意子束电流的表达式，并讨论了它的性质。我们还讨论了实验室构建任意子束的可能性。
