dorsal/arxiv
View SchemaThe nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2
| Authors | Bo-yu Hou, Wen-li Yang |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9802015 |
| URL | https://arxiv.org/abs/solv-int/9802015 |
| Journal | Commun.Theor.Phys.33:371-376,2000 |
Abstract
We demonstrate that in a certain gauge the elliptic Ruijsenaars-Shneider model with N=2 admits a nondynamical r-matrix structure and the corresponding classical r-matrix is the same as that of its non-relativistic counterpart (Calogero-Moser model) in the same gauge.The relation between our (classical)Lax operator and the Lax operator given by Ruijsenaars is also obtained.
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"abstract": "We demonstrate that in a certain gauge the elliptic Ruijsenaars-Shneider\nmodel with N=2 admits a nondynamical r-matrix structure and the corresponding\nclassical r-matrix is the same as that of its non-relativistic counterpart\n(Calogero-Moser model) in the same gauge.The relation between our\n(classical)Lax operator and the Lax operator given by Ruijsenaars is also\nobtained.",
"arxiv_id": "solv-int/9802015",
"authors": [
"Bo-yu Hou",
"Wen-li Yang"
],
"categories": [
"solv-int",
"nlin.SI"
],
"journal_ref": "Commun.Theor.Phys.33:371-376,2000",
"title": "The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2",
"url": "https://arxiv.org/abs/solv-int/9802015"
},
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