Reduction of Anyons to One Dimension and Calogero-Sutherland-type Models

TL;DR

This paper explores how reducing two-dimensional anyon systems to one dimension results in models related to Calogero-Sutherland, introducing a new exactly solvable model within this framework.

Contribution

It presents a novel one-dimensional model derived from anyon systems with exact solutions, expanding the family of Calogero-Sutherland-type models.

Findings

Derived a new exactly solvable one-dimensional anyon model.

Connected dimensional reduction to Calogero-Sutherland models.

Extended the family of models from spherically symmetric reductions.

Abstract

The two-dimensional anyon system, when reduced to one dimension, yields models related to the Calogero-Sutherland model. One such reduction leads to a new model with a class of exact solutions. This model is one of a family of models obtained upon dimensional reduction of spherically symmetric models in arbitrary dimensions.