The Lax pair for C_2-type Ruijsenaars-Schneider model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX2e, 10 pages, some misprints corrected and sections rearranged

Scientific paper

10.1088/1009-1963/10/6/316

We study the C_2 Ruijsenaars-Schneider(RS) model with interaction potential
of trigonometric type. The Lax pairs for the model with and without spectral
parameter are constructed. Also given are the involutive Hamiltonians for the
system. Taking nonrelativistic limit, we obtain the Lax pair of C_2
Calogero-Moser model.

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