Comment on ``Additional analytically exact solutions for three-anyons'' and ``Fermion Ground State of Three Particles in a Harmonic Potential Well and Its Anyon Interpolation''

TL;DR

This paper critiques previous claims about the energy dependence of three-anyon systems, showing that their proposed wave functions do not meet the required interchange conditions, thus invalidating those results.

Contribution

It provides a critical analysis demonstrating that earlier solutions for three-anyon energies are incorrect due to improper wave functions.

Findings

Previous solutions do not satisfy anyonic interchange conditions.

The claimed linear energy dependence is invalid.

Wave functions must meet specific interchange criteria.

Abstract

The claim put forward in [hep-th/9512051, hep-th/9612244] that the energies of the ``missing'' states of three anyons in a harmonic potential depend linearly on the statistics parameter, is incorrect because the wave functions proposed do not satisfy the anyonic interchange conditions.