Eur. Phys. J. Plus (2017) 132: 74
https://doi.org/10.1140/epjp/i2017-11350-y

Regular Article

Anyons in quantum mechanics with a minimal length

¹ Haute École Louvain en Hainaut (HELHa), Chaussée de Binche 159, 7000, Mons, Belgium
² Service de Physique Nucléaire et Subnucléaire, Université de Mons - UMONS, Place du Parc 20, 7000, Mons, Belgium

^* e-mail: fabien.buisseret@umons.ac.be

Received: 10 November 2015
Accepted: 17 January 2017
Published online: 15 February 2017

Abstract

The existence of anyons, i.e. quantum states with an arbitrary spin, is a generic feature of standard quantum mechanics in (2 + 1) -dimensional Minkowski spacetime. Here it is shown that relativistic anyons may exist also in quantum theories where a minimal length is present. The interplay between minimal length and arbitrary spin effects are discussed.