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

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.

12 pages, no Figures, to appear in IJMP A

References in corpus (3)

• Anyons and Chiral Solitons on a Line
• Haldane exclusion statistics and second virial coefficient
• Asymptotic analysis and spectrum of three anyons

Cited by in corpus (1)

• Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas