dorsal/arxiv
View SchemaSeparation of Variables in the Elliptic Gaudin Model
| Authors | Evgueni K. Sklyanin, Takashi Takebe |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9807008 |
| URL | https://arxiv.org/abs/solv-int/9807008 |
| DOI | 10.1007/s002200050635 |
| Journal | Communications in Mathematical Physics 204:1 (1999) 17-38 |
Abstract
For the elliptic Gaudin model (a degenerate case of XYZ integrable spin chain) a separation of variables is constructed in the classical case. The corresponding separated coordinates are obtained as the poles of a suitably normalized Baker-Akhiezer function. The classical results are generalized to the quantum case where the kernel of separating integral operator is constructed. The simplest one-degree-of-freedom case is studied in detail.
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"abstract": "For the elliptic Gaudin model (a degenerate case of XYZ integrable spin\nchain) a separation of variables is constructed in the classical case. The\ncorresponding separated coordinates are obtained as the poles of a suitably\nnormalized Baker-Akhiezer function. The classical results are generalized to\nthe quantum case where the kernel of separating integral operator is\nconstructed. The simplest one-degree-of-freedom case is studied in detail.",
"arxiv_id": "solv-int/9807008",
"authors": [
"Evgueni K. Sklyanin",
"Takashi Takebe"
],
"categories": [
"solv-int",
"hep-th",
"math.QA",
"nlin.SI"
],
"doi": "10.1007/s002200050635",
"journal_ref": "Communications in Mathematical Physics 204:1 (1999) 17-38",
"title": "Separation of Variables in the Elliptic Gaudin Model",
"url": "https://arxiv.org/abs/solv-int/9807008"
},
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