Trihamiltonian extensions of separable systems in the plane

dc.creatorDegiovanni, Luca
dc.date2004-07-13
dc.date.accessioned2026-07-07T06:31:25Z
dc.date.available2026-07-07T06:31:25Z
dc.descriptionA method to construct trihamiltonian extensions of a separable system is presented. The procedure is tested for systems, with a natural Hamiltonian, separable in classical sense in one of the four orthogonal separable coordinate systems of the Euclidean plane, and some explicit examples are constructed. Finally a conjecture on possible generalizations to other classes of systems is discussed: in particular, the method can be easily adapted to the eleven orthogonal separable coordinate sets of the Euclidean three-space.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/nlin/0407030
dc.identifierhttp://arxiv.org/abs/nlin/0407030
dc.identifierJ. Math. Phys. 47, 043505 (2006) (22 pages)
dc.identifierdoi:10.1063/1.2188227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98599
dc.subjectExactly Solvable and Integrable Systems
dc.titleTrihamiltonian extensions of separable systems in the plane
dc.typetext

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