On the derivation of Darboux form for the action-angle dual of trigonometric BC(n) Sutherland system

Görbe, Tamás Ferenc (2014) On the derivation of Darboux form for the action-angle dual of trigonometric BC(n) Sutherland system. JOURNAL OF PHYSICS-CONFERENCE SERIES, 563 (1). ISSN 1742-6588

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Abstract

Recently Feh´er and the author have constructed the action-angle dual of the trigono- metric BCn Sutherland system via Hamiltonian reduction. In this paper1 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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