Integrable systems whose spectral curve is the graph of a function

dc.creatorTakasaki, Kanehisa
dc.date2002-11-15
dc.date2004-04-23
dc.date.accessioned2026-07-07T05:34:25Z
dc.date.available2026-07-07T05:34:25Z
dc.descriptionFor some integrable systems, such as the open Toda molecule, the spectral curve of the Lax representation becomes the graph $C = \{(λ,z) \mid z = A(λ)\}$ of a function $A(λ)$. Those integrable systems provide an interesting ``toy model'' of separation of variables. Examples of this type of integrable systems are presented along with generalizations for which $A(λ)$ lives on a cylinder, a torus or a Riemann surface of higher genus.
dc.descriptionlatex2e, 15 pages, no figure; (v2) typos in eq. (25) etc. are corrected; (v3) a few typos are corrected. This article will be published in CRM Proceedings and Lecture Notes vol. 37
dc.identifierhttps://arxiv.org/abs/nlin/0211021
dc.identifierhttp://arxiv.org/abs/nlin/0211021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80362
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleIntegrable systems whose spectral curve is the graph of a function
dc.typetext

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