Fractional exclusion statistics -- the method to describe interacting particle systems as ideal gases

TL;DR

This paper presents a method to describe interacting particle systems as ideal gases with fractional exclusion statistics, providing a way to calculate FES parameters and highlighting limitations of Bose and Fermi quasiparticle descriptions.

Contribution

It introduces a general method to model interacting particles as ideal gases with fractional exclusion statistics and calculates the FES parameters.

Findings

Interacting systems can be represented as ideal gases with FES under certain conditions.

The method allows calculation of FES parameters from quasiparticle energies.

Bose and Fermi quasiparticle descriptions are generally insufficient for interacting systems.

Abstract

I show that if the total energy of a system of interacting particles may be written as a sum of quasiparticle energies, then the system of quasiparticles can be viewed in general as an ideal gas with fractional exclusion statistics (FES). The general method for calculating the FES parameters is also provided. The interacting particle system cannot be described as an ideal gas of Bose and Fermi quasiparticles except in trivial situations.