Energy Spectrum of Anyons in a Magnetic Field

TL;DR

This paper derives the exact energy spectrum of anyons in a magnetic field, providing analytical solutions that align with recent numerical results for small systems, advancing understanding of anyonic quantum states.

Contribution

It presents an exact analytical derivation of the energy spectrum for many-anyon systems in a magnetic field, incorporating topological constraints, which was previously approached mainly through numerical methods.

Findings

Exact energy spectrum derived for anyons in magnetic field.

Results agree with recent numerical spectra for 3- and 4-anyon systems.

Provides analytical insight into topological effects on anyonic energy levels.

Abstract

For the many-anyon system in external magnetic field, we derive the energy spectrum as an exact solution of the quantum eigenvalue problem with particular topological constraints. Our results agree with the numerical spectra recently obtained for the 3- and the 4-anyon systems.