Quantum vs Classical Integrability in Ruijsenaars-Schneider Systems

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dc.creatorRagnisco, O.
dc.creatorSasaki, R.
dc.date2003-05-14
dc.date.accessioned2026-07-07T10:49:39Z
dc.date.available2026-07-07T10:49:39Z
dc.descriptionThe relationship (resemblance and/or contrast) between quantum and classical integrability in Ruijsenaars-Schneider systems, which are one parameter deformation of Calogero-Moser systems, is addressed. Many remarkable properties of classical Calogero and Sutherland systems (based on any root system) at equilibrium are reported in a previous paper (Corrigan-Sasaki). For example, the minimum energies, frequencies of small oscillations and the eigenvalues of Lax pair matrices at equilibrium are all "integer valued". In this paper we report that similar features and results hold for the Ruijsenaars-Schneider type of integrable systems based on the classical root systems.
dc.descriptionLaTeX2e with amsfonts 15 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0305120
dc.identifierhttp://arxiv.org/abs/hep-th/0305120
dc.identifierJ.Phys.A37:469-480,2004
dc.identifierdoi:10.1088/0305-4470/37/2/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184292
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.titleQuantum vs Classical Integrability in Ruijsenaars-Schneider Systems
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