Exact Multiplicities in the Three-Anyon Spectrum

TL;DR

This paper precisely determines the multiplicities of energy and angular momentum states in a three-anyon system using symmetry properties, aligning with quantum mechanical and semiclassical analyses.

Contribution

It provides an exact calculation of state multiplicities in the three-anyon spectrum, enhancing understanding of anyonic quantum systems.

Findings

Exact multiplicities match quantum mechanical predictions

Results agree with semiclassical considerations

Unexplained points are identified for future study

Abstract

Using the symmetry properties of the three-anyon spectrum, we obtain exactly the multiplicities of states with given energy and angular momentum. The results are shown to be in agreement with the proper quantum mechanical and semiclassical considerations, and the unexplained points are indicated.