Common Algebraic Structure for the Calogero-Sutherland Models

Details Common Algebraic Structure for the Calogero-Sutherland Models Common Algebraic Structure for the Calogero-Sutherland Models

1996-08-27

arxiv.org/abs/solv-int/9608009v2

J. Phys. A29 (1996) L619-L624

Physics

Condensed Matter

7 pages, LaTeX, no figures, some text and references added, minor misprints corrected

Scientific paper

10.1088/0305-4470/29/24/002

We investigate common algebraic structure for the rational and trigonometric
Calogero-Sutherland models by using the exchange-operator formalism. We show
that the set of the Jack polynomials whose arguments are Dunkl-type operators
provides an orthogonal basis for the rational case.

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