2026-06-29T01:51:42Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/596072023-08-26T18:45:34Zcom_20.500.14352_14col_20.500.14352_15
A_(N)-type Dunkl operators and new spin Calogero-Sutherland models
Finkel Morgenstern, Federico
Gómez-Ullate Otaiza, David
González López, Artemio
Rodríguez González, Miguel Ángel
51-73
Many-body problems
Algebraic structure
Integrable systems
Ground-state
Polynomials
Extension
Particles
Exchange
Chain
Física-Modelos matemáticos
Física matemática
©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
2023-06-20T20:07:20Z
2023-06-20T20:07:20Z
2001-08
journal article
https://hdl.handle.net/20.500.14352/59607
0010-3616
10.1007/s002200100468
eng
PB98-0821
open access
application/pdf
Springer