On the derivation of Darboux form for the action-angle dual of trigonometric BC(n) Sutherland system
Gorbe, T. F.
Mathematical Physics
High Energy Physics - Theory
Exactly Solvable and Integrable Systems
14H70, 37J15, 53D20
الأصل · EN
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.
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