dorsal/arxiv
View SchemaElliptic solutions to difference non-linear equations and nested Bethe ansatz equations
| Authors | I. M. Krichever |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9804016 |
| URL | https://arxiv.org/abs/solv-int/9804016 |
Abstract
We outline an approach to a theory of various generalizations of the elliptic Calogero-Moser (CM) and Ruijsenaars-Shneider (RS) systems based on a special inverse problem for linear operators with elliptic coefficients. Hamiltonian theory of such systems is developed with the help of the universal symplectic structure proposed by D.H. Phong and the author. Canonically conjugated action-angle variables for spin generalizations of the elliptic CM and RS systems are found.
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"date_created": "2026-03-02T18:02:50.701000Z",
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"abstract": "We outline an approach to a theory of various generalizations of the elliptic\nCalogero-Moser (CM) and Ruijsenaars-Shneider (RS) systems based on a special\ninverse problem for linear operators with elliptic coefficients. Hamiltonian\ntheory of such systems is developed with the help of the universal symplectic\nstructure proposed by D.H. Phong and the author. Canonically conjugated\naction-angle variables for spin generalizations of the elliptic CM and RS\nsystems are found.",
"arxiv_id": "solv-int/9804016",
"authors": [
"I. M. Krichever"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"title": "Elliptic solutions to difference non-linear equations and nested Bethe ansatz equations",
"url": "https://arxiv.org/abs/solv-int/9804016"
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