Comments on spin-orbit interaction of anyons

TL;DR

This paper explores the coupling of non-relativistic anyons to electromagnetic fields, introducing anomalous spin-orbit interactions and analyzing different Hamiltonian formulations, with connections to relativistic models.

Contribution

It presents a novel approach to coupling anyons with electromagnetic fields by incorporating spin-orbit terms and compares different Hamiltonian structures for the model.

Findings

Two Hamiltonian structures are equivalent under certain redefinitions.

The model can be derived from a relativistic framework.

Anomalous coupling modifies the dynamics of anyons.

Abstract

The coupling of non-relativistic anyons (called exotic particles) to an electromagnetic field is considered. Anomalous coupling is introduced by adding a spin-orbit term to the Lagrangian. Alternatively, one has two Hamiltonian structures, obtained by either adding the anomalous term to the Hamiltonian, or by redefining the mass and the NC parameter. The model can also be derived from its relativistic counterpart.