Imprimitively generated Lie-algebraic Hamiltonians and separation of variables

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dc.creatorMilson, Robert
dc.date1998-06-11
dc.date.accessioned2026-07-07T06:17:36Z
dc.date.available2026-07-07T06:17:36Z
dc.descriptionTurbiner's conjecture posits that a Lie-algebraic Hamiltonian operator whose domain is a subset of the Euclidean plane admits a separation of variables. A proof of this conjecture is given in those cases where the generating Lie-algebra acts imprimitively. The general form of the conjecture is false. A counter-example is given based on the trigonometric Olshanetsky-Perelomov potential corresponding to the A_2 root system.
dc.description32 pages. To appear in the Canadian Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/solv-int/9806003
dc.identifierhttp://arxiv.org/abs/solv-int/9806003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94440
dc.subjectExactly Solvable and Integrable Systems
dc.subjectDifferential Geometry
dc.titleImprimitively generated Lie-algebraic Hamiltonians and separation of variables
dc.typetext

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