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