Hamiltonian versus Lagrangian formulations of supermechanic

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dc.creatorCariñena, José F.
dc.creatorFigueroa, Hector
dc.date1997-03-24
dc.date.accessioned2026-07-07T10:57:52Z
dc.date.available2026-07-07T10:57:52Z
dc.descriptionWe take advantage of different generalizations of the tangent manifold to the context of graded manifolds, together with the notion of super section along a morphism of graded manifolds, to obtain intrinsic definitions of the main objects in supermechanics such as, the vertical endomorphism, the canonical and the Cartan's graded forms, the total time derivative operator and the super--Legendre transformation. In this way, we obtain a correspondence between the Lagrangian and the Hamiltonian formulations of supermechanics.
dc.descriptionPlain TeX, 24 pages. Submitted to J. Phys. A
dc.identifierhttps://arxiv.org/abs/dg-ga/9703016
dc.identifierhttp://arxiv.org/abs/dg-ga/9703016
dc.identifierJ.Phys.A30:2705-2724,1997
dc.identifierdoi:10.1088/0305-4470/30/8/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186905
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.titleHamiltonian versus Lagrangian formulations of supermechanic
dc.typetext

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