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\(C_{N+1}^{(2)}\) Ruijsenaars-Schneider models - MaRDI portal

\(C_{N+1}^{(2)}\) Ruijsenaars-Schneider models (Q1611323)

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\(C_{N+1}^{(2)}\) Ruijsenaars-Schneider models
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    \(C_{N+1}^{(2)}\) Ruijsenaars-Schneider models (English)
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    21 August 2002
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    The notion of \(C^{(2)}_{N+1}\) Ruijsenaars-Schneider models is defined and their Lax formulation is considered. The models are obtained by a particular folding of the \(A_{2N+1}\) systems. Their commuting Hamiltonians are linear combinations of Koornwinder-van Diejen ``external fields'' Ruijsenaars-Schneider models for specific values of the exponential one-body couplings but with the most general two double-poles structure as opposed to the formerly studied \(BC_N\) case.
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    Ruijsenaars-Schneider models
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    Koornwinder-van Diejen potentials
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    Calogero-Moser Hamiltonians
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