On the Electromagnetic Interactions of Anyons

TL;DR

This paper explores the electromagnetic interactions of charged anyons using Poincare group representations, deriving a Schrödinger-type equation that includes spin-related couplings and revealing a gyromagnetic ratio of 2.

Contribution

It introduces a novel approach to describe charged anyons' electromagnetic interactions, deriving a Schrödinger-type equation with spin effects and confirming the gyromagnetic ratio as 2.

Findings

Gyromagnetic ratio for charged anyons is 2

Derived a Schrödinger-type equation including spin-magnetic and spin-orbit couplings

Showed spin is parallel to momentum in (2+1) dimensions

Abstract

Using the appropriate representation of the Poincare group and a definition of minimal coupling, we discuss some aspects of the electromagnetic interactions of charged anyons. In a nonrelativistic expansion, we derive a Schrodinger-type equation for the anyon wave function which includes spin-magnetic field and spin-orbit couplings. In particular, the gyromagnetic ratio for charged anyons is shown to be 2; this last result is essentially a reflection of the fact that the spin is parallel to the momentum in (2+1) dimensions.