학술논문
A_(N)-type Dunkl operators and new spin Calogero-Sutherland models
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Electronic Resource
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Abstract
©Springer. This work was partially supported by the DGES under grant PB98-0821. R. Zhdanov would like to acknowledge the financial support by the Spanish Ministry of Education and Culture during his stay at the Universidad Complutense de Madrid.
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.
DGES
Spanish Ministry of Education and Culture
Depto. de Física Teórica
Fac. de Ciencias Físicas
TRUE
pub
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.
DGES
Spanish Ministry of Education and Culture
Depto. de Física Teórica
Fac. de Ciencias Físicas
TRUE
pub