The non-dynamicalr-matrix structure for the elliptic Calogero-Moser model
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Publication:4262536
DOI10.1088/0305-4470/32/8/014zbMath1055.81628arXivq-alg/9711010OpenAlexW2027685404MaRDI QIDQ4262536
Publication date: 1999
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9711010
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse scattering problems in quantum theory (81U40) Many-body theory; quantum Hall effect (81V70)
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From dynamical to numerical \(R\)-matrices: a case study for the Calogero models ⋮ The nondynamical \(r\)-matrix for the Ruijsenaars-Schneider model and the classical Sklyanin algebra. ⋮ Multiple reference states and complete spectrum of the \(\mathbb Z_{n}\) Belavin model with open boundaries ⋮ The dynamical twisting and nondynamical r-matrix structure of the elliptic Ruijsenaars–Schneider model ⋮ Dynamical R-matrices for Calogero models ⋮ On the r-matrix structure of the hyperbolic BC n Sutherland model
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