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arXiv · 1705.01333

Integrable many-body systems of Calogero-Ruijsenaars type

T. F. Gorbe
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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.

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BibTeXRIS

T. F. Gorbe. 2017-05-03. Integrable many-body systems of Calogero-Ruijsenaars type. https://doi.org/10.14232/phd.3595

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