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The Toda lattice is super-integrable

dc.contributor.authorAgrotis, Maria A.en
dc.contributor.authorDamianou, Pantelis A.en
dc.contributor.authorSophocleous, Christodoulosen
dc.creatorAgrotis, Maria A.en
dc.creatorDamianou, Pantelis A.en
dc.creatorSophocleous, Christodoulosen
dc.date.accessioned2019-12-02T10:33:20Z
dc.date.available2019-12-02T10:33:20Z
dc.date.issued2006
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/56349
dc.description.abstractWe prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2 N - 1 independent constants of motion, where N is the number of degrees of freedom. The main ingredient of the proof is the use of some special action-angle coordinates introduced by Moser to solve the equations of motion. © 2006 Elsevier B.V. All rights reserved.en
dc.sourcePhysica A: Statistical Mechanics and its Applicationsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33645976137&doi=10.1016%2fj.physa.2006.01.001&partnerID=40&md5=cad030d98b92ee90c7b83de8f84e989e
dc.subjectProblem solvingen
dc.subjectStatistical mechanicsen
dc.subjectNumerical analysisen
dc.subjectEquations of motionen
dc.subjectMethod of momentsen
dc.subjectLattice constantsen
dc.subjectToda latticeen
dc.subjectMathematical techniquesen
dc.subjectNon-periodic Toda latticesen
dc.subjectPoisson bracketsen
dc.subjectSuper-integrable systemsen
dc.titleThe Toda lattice is super-integrableen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1016/j.physa.2006.01.001
dc.description.volume365
dc.description.issue1
dc.description.startingpage235
dc.description.endingpage243
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :14</p>en
dc.source.abbreviationPhys A Stat Mech Applen
dc.contributor.orcidSophocleous, Christodoulos [0000-0001-8021-3548]
dc.contributor.orcidDamianou, Pantelis A. [0000-0003-3399-9837]
dc.gnosis.orcid0000-0001-8021-3548
dc.gnosis.orcid0000-0003-3399-9837


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