Common Algebraic Structure for the Calogero-Sutherland Models
classification
solv-int
cond-mathep-thmath.QAnlin.SIq-alg
keywords
algebraiccalogero-sutherlandcommonmodelsrationalstructureargumentsbasis
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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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