On the derivation of Darboux form for the action-angle dual of trigonometric BC(n) Sutherland system
arXiv:1410.0301 · doi:10.1088/1742-6596/563/1/012012
Abstract
Recently Feher and the author have constructed the action-angle dual of the trigonometric BC(n) Sutherland system via Hamiltonian reduction. In this paper a reduction-based calculation is carried out to verify canonical Poisson bracket relations on the phase space of this dual model. Hence the material serves complementary purposes whilst it can also be regarded as a suitable modification of the hyperbolic case previously sorted out by Pusztai.
Contribution to the proceedings of the 22nd International Conference on Integrable Systems and Quantum Symmetries (ISQS-22, Prague, June 2014), 11 pages
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