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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 027, 5 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.027 (Mi sigma1109) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero–Moser System

Tamás F. Görbe

Department of Theoretical Physics, University of Szeged, Tisza Lajos krt 84-86, H-6720 Szeged, Hungary
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DOI: https://doi.org/10.3842/SIGMA.2016.027
Abstract: 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.
Keywords: integrable systems; Calogero–Moser type systems; spectral coordinates; Hamiltonian reduction; action-angle duality.
Funding agency Grant number
Hungarian Scientific Research Fund (OTKA) K-111697
European Cooperation in Science and Technology MP1405
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.
Received: January 19, 2016; in final form March 8, 2016; Published online March 11, 2016
Bibliographic databases:
Document Type: Article
MSC: 14H70; 37J15; 53D20
Language: English
Citation: Tamás F. Görbe, “A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero–Moser System”, SIGMA, 12 (2016), 027, 5 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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