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Integrable N-particle Hamiltonians with Yangian or reflection algebra symmetry

Caudrelier, V. and Crampe, N. (2004). Integrable N-particle Hamiltonians with Yangian or reflection algebra symmetry. Journal of Physics A: Mathematical and General, 37(24), pp. 6285-6298. doi: 10.1088/0305-4470/37/24/007

Abstract

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.

Publication Type: Article
Additional Information: This is an author-created, un-copyedited version of an article accepted for publication in Journal of physics A: Mathematical and general. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0305-4470/37/24/007
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/169
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