Cartan-Calculus and its Generalizations via a Path-Integral Approach to Classical Mechanics

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dc.creatorGozzi, Ennio
dc.date1997-02-26
dc.date.accessioned2026-07-07T09:17:29Z
dc.date.available2026-07-07T09:17:29Z
dc.descriptionIn this paper we review the recently proposed path-integral counterpart of the Koopman-von Neumann operatorial approach to classical Hamiltonian mechanics. We identify in particular the geometrical variables entering this formulation and show that they are essentially a basis of the cotangent bundle to the tangent bundle to phase-space. In this space we introduce an extended Poisson brackets structure which allows us to re-do all the usual Cartan calculus on symplectic manifolds via these brackets. We also briefly sketch how the Schouten-Nijenhuis, the Frölicher- Nijenhuis and the Nijenhuis-Richardson brackets look in our formalism.
dc.description6 pages, amstex
dc.identifierhttps://arxiv.org/abs/q-alg/9702032
dc.identifierhttp://arxiv.org/abs/q-alg/9702032
dc.identifierRend.Sem.Mat.Univ.Politec.Torino 54 (1996) 269-277
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153685
dc.subjectQuantum Algebra
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleCartan-Calculus and its Generalizations via a Path-Integral Approach to Classical Mechanics
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