dorsal/arxiv
View SchemaElliptic Ruijsenaars-Schneider and Calogero-Moser hierarchies are governed by the same r-matrix
| Authors | Yuri B. Suris |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9603011 |
| URL | https://arxiv.org/abs/solv-int/9603011 |
| DOI | 10.1016/S0375-9601(96)00897-3 |
| Journal | Phys. Lett. A225, 1997, p. 253-262. |
Abstract
We demonstrate that in a certain gauge the elliptic Ruijsenaars--Schneider models admit Lax representation governed by the same dynamical $r$--matrix as their non--relativistic counterparts (Calogero--Moser models). This phenomenon was previously observed for the rational and hyperbolic models.
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"abstract": "We demonstrate that in a certain gauge the elliptic Ruijsenaars--Schneider\nmodels admit Lax representation governed by the same dynamical $r$--matrix as\ntheir non--relativistic counterparts (Calogero--Moser models). This phenomenon\nwas previously observed for the rational and hyperbolic models.",
"arxiv_id": "solv-int/9603011",
"authors": [
"Yuri B. Suris"
],
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"doi": "10.1016/S0375-9601(96)00897-3",
"journal_ref": "Phys. Lett. A225, 1997, p. 253-262.",
"title": "Elliptic Ruijsenaars-Schneider and Calogero-Moser hierarchies are governed by the same r-matrix",
"url": "https://arxiv.org/abs/solv-int/9603011"
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