The Lax pair for C₂-type Ruijsenaars-Schneider model
classification
✦ hep-th
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modelpairruijsenaars-schneidertypecalogero-moserconstructedgivenhamiltonians
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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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