Gorbe, TF orcid.org/0000-0002-6100-2582 (2016) A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System. Symmetry, Integrability and Geometry: Methods and Applications, 12. ARTN 027. ISSN 1815-0659
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | integrable systems; Calogero-Moser type systems; spectral coordinates; Hamiltonian reduction; action-angle duality |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 24 Jan 2019 13:47 |
Last Modified: | 24 Jan 2019 13:48 |
Status: | Published |
Publisher: | National Academy of Science of Ukraine |
Identification Number: | 10.3842/SIGMA.2016.027 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:141551 |