Aₙ-type Dunkl operators and new spin Calogero-Sutherland models
Finkel, F. · Gomez-Ullate, D. · Gonzalez-Lopez, A. · Rodriguez, M. A. · Zhdanov, R.
Original · EN
A new family of Aₙ-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.
English translation
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