Pairs of commuting Hamiltonians quadratic in momenta

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dc.creatorMarikhin, V. G.
dc.creatorSokolov, V. V.
dc.date2007-10-22
dc.date2008-02-13
dc.date.accessioned2026-07-07T09:20:06Z
dc.date.available2026-07-07T09:20:06Z
dc.descriptionIn the case of two degree system the pairs of quadratic in momenta Hamiltonians commuting according the standard Poisson bracket are considered. The new many-parametrical families of such pairs are founded. The universal method of constructing the full solution of Hamilton - Jacobi equation in terms of integrals on some algebraic curve is proposed. For some examples this curve is non-hyperelliptic covering over the elliptic curve.
dc.description14 pages, proof of Theorem 1 added
dc.identifierhttps://arxiv.org/abs/0710.4035
dc.identifierhttp://arxiv.org/abs/0710.4035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154622
dc.subjectExactly Solvable and Integrable Systems
dc.titlePairs of commuting Hamiltonians quadratic in momenta
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