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arXiv · hep-th/0102039

A_N-type Dunkl operators and new spin Calogero-Sutherland models

F. Finkel·D. Gomez-Ullate·A. Gonzalez-Lopez·M. A. Rodriguez·R. Zhdanov
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Abstract

A new family of A_N-type Dunkl operators preserving a polynomial subspace of finite dimension is constructed. Using a general quadratic combination of these operators and the usual Dunkl operators, several new families of exactly and quasi-exactly solvable quantum spin Calogero-Sutherland models are obtained. These include, in particular, three families of quasi-exactly solvable elliptic spin Hamiltonians.

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F. Finkel, D. Gomez-Ullate, A. Gonzalez-Lopez, M. A. Rodriguez, R. Zhdanov. 2001-02-07. A_N-type Dunkl operators and new spin Calogero-Sutherland models. https://doi.org/10.1007/s002200100468

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