On the derivation of Darboux form for the action- angle dual of trigonometric BCn Sutherland system

22nd International Conference on Integrable Systems and Quantum Symmetries

Görbe, Tamás F.^1

Department of Theoretical Physics, University of Szeged, Tisza Lajos krt 84-86, Szeged

H-6720, Hungary^1

关键词: Action angles;    Dual model;    Hamiltonian reductions;    Poisson brackets;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/563/1/012012/pdf
DOI  :  10.1088/1742-6596/563/1/012012

来源: IOP

【 摘 要 】

Recently Fehér and the author have constructed the action-angle dual of the trigonometric BCnSutherland system via Hamiltonian reduction. In this paper a reduction- based calculation is carried out to verify the 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.