RT Journal Article
T1 On the Sutherland spin model of B-N type and its associated spin chain
A1 Finkel Morgenstern, Federico
A1 Gómez-Ullate Otaiza, David
A1 González López, Artemio
A1 Rodríguez González, Miguel Ángel
A1 Zhdanov, R.
AB The B-N hyperbolic Sutherland spin model is expressed in terms of a suitable set of commuting Dunkl operators. This fact is exploited to derive a complete family of commuting integrals of motion of the model, thus establishing its integrability. The Dunkl operators are shown to possess a common flag of invariant finite-dimensional linear spaces of smooth scalar functions. This implies that the Hamiltonian of the model preserves a corresponding flag of smooth spin functions. The discrete spectrum of the restriction of the Hamiltonian to this spin flag is explicitly computed by triangularization. The integrability of the hyperbolic Sutherland spin chain of BN type associated with the dynamical model is proved using Polychronakos's "freezing trick".
PB Springer
SN 0010-3616
YR 2003
FD 2003-02
LK https://hdl.handle.net/20.500.14352/51464
UL https://hdl.handle.net/20.500.14352/51464
LA eng
NO ©Springer.This work was partially supported by the DGES under grant PB98-0821. R. Zhdanov would like to acknowledge the financial support of the Spanish Ministry of Education and Culture during his stay at the Universidad Complutense de Madrid. The authors would also like to thank the referee for several helpful remarks.
NO DGES
NO Spanish Ministry of Education and Culture
DS Docta Complutense
RD 4 abr 2025