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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, no Figures, to appear in IJMP A

Scientific paper

10.1142/S0217751X98001931

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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