Gorbe, TF orcid.org/0000-0002-6100-2582 Integrable many-body systems of Calogero-Ruijsenaars type. PhD thesis.
Abstract
This thesis presents our results on Liouville integrable systems of Calogero-Ruijsenaars type: 1. We prove an explicit formula providing canonical spectral coordinates for the rational Calogero-Moser system. 2. We explore action-angle duality for the trigonometric BC(n) Sutherland system using Hamiltonian reduction. 3. We derive a Poisson-Lie deformation of the trigonometric BC(n) Sutherland system using Hamiltonian reduction. 4. We construct a Lax pair for the hyperbolic Ruijsenaars-Schneider system with two couplings. 5. We present an explicit construction of compactified trigonometric and elliptic Ruijsenaars-Schneider systems.
Metadata
Item Type: | Thesis |
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Authors/Creators: |
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Keywords: | math-ph; math-ph; hep-th; math.MP; nlin.SI; 14H70, 37J15, 37J35, 53D20, 70E40, 70G65, 70H06 |
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: | 16 Sep 2019 11:45 |
Last Modified: | 16 Sep 2019 11:45 |
Published Version: | http://dx.doi.org/10.14232/phd.3595 |
Status: | Unpublished |
Identification Number: | 10.14232/phd.3595 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:141552 |