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Integrable N-particle Hamiltonians with Yangian or reflection algebra symmetry

Caudrelier, V. and Crampé, N. (2004) Integrable N-particle Hamiltonians with Yangian or reflection algebra symmetry. Journal of Physics A: Mathematical and General, 37. pp. 6285-6298. ISSN 0305-4470

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We use the Dunkl operator approach to construct one-dimensional integrable models describing N particles with internal degrees of freedom. These models are described by a general Hamiltonian belonging to the centre of the Yangian or the reflection algebra, which ensures that they admit the corresponding symmetry. In particular, the open problem of the symmetry is answered for the BN-type Sutherland model with spin and for a generalized BN-type nonlinear Schrödinger Hamiltonian.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 17 Apr 2009 10:40
Last Modified: 17 Apr 2009 10:40
Published Version: http://dx.doi.org/10.1088/0305-4470/37/24/007
Status: Published
Publisher: Institute of Physics
Identification Number: 10.1088/0305-4470/37/24/007
URI: http://eprints.whiterose.ac.uk/id/eprint/6837

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