A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System
We use Hamiltonian reduction to simplify Falqui and Mencattini's recent proof of Sklyanin's expression providing spectral Darboux coordinates of the rational Calogero-Moser system. This viewpoint enables us to verify a conjecture of Falqui and Mencattini, and to obtain Sklyanin's form...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2016 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147756 |
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| Cite this: | A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System / T.F. Görbe // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 10 назв. — англ. |
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Görbe, T.F. 2019-02-15T19:12:52Z 2019-02-15T19:12:52Z 2016 A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System / T.F. Görbe // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 10 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14H70; 37J15; 53D20 DOI:10.3842/SIGMA.2016.027 https://nasplib.isofts.kiev.ua/handle/123456789/147756 We use Hamiltonian reduction to simplify Falqui and Mencattini's recent proof of Sklyanin's expression providing spectral Darboux coordinates of the rational Calogero-Moser system. This viewpoint enables us to verify a conjecture of Falqui and Mencattini, and to obtain Sklyanin's formula as a corollary. Thanks are due to Laszlo Feher for drawing our attention to the duality perspective. This work was supported in part by the Hungarian Scientific Research Fund (OTKA) under the grant K-111697. The work was also partially supported by COST (European Cooperation in Science and Technology) in COST Action MP1405 QSPACE. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System |
| spellingShingle |
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System Görbe, T.F. |
| title_short |
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System |
| title_full |
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System |
| title_fullStr |
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System |
| title_full_unstemmed |
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System |
| title_sort |
simple proof of sklyanin's formula for canonical spectral coordinates of the rational calogero-moser system |
| author |
Görbe, T.F. |
| author_facet |
Görbe, T.F. |
| publishDate |
2016 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We use Hamiltonian reduction to simplify Falqui and Mencattini's recent proof of Sklyanin's expression providing spectral Darboux coordinates of the rational Calogero-Moser system. This viewpoint enables us to verify a conjecture of Falqui and Mencattini, and to obtain Sklyanin's formula as a corollary.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147756 |
| citation_txt |
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System / T.F. Görbe // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 10 назв. — англ. |
| work_keys_str_mv |
AT gorbetf asimpleproofofsklyaninsformulaforcanonicalspectralcoordinatesoftherationalcalogeromosersystem AT gorbetf simpleproofofsklyaninsformulaforcanonicalspectralcoordinatesoftherationalcalogeromosersystem |
| first_indexed |
2025-12-01T08:11:42Z |
| last_indexed |
2025-12-01T08:11:42Z |
| _version_ |
1850859622097747968 |