Covariant geometric quantization of non-relativistic Hamiltonian mechanics

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dc.creatorGiachetta, G.
dc.creatorMangiarotti, L.
dc.creatorSardanashvily, G.
dc.date2000-12-07
dc.date2000-12-11
dc.date.accessioned2026-07-07T06:01:19Z
dc.date.available2026-07-07T06:01:19Z
dc.descriptionWe provide geometric quantization of the vertical cotangent bundle V^*Q equipped with the canonical Poisson structure. This is a momentum phase space of non-relativistic mechanics with the configuration bundle Q -> R. The goal is the Schrodinger representation of V^*Q. We show that this quantization is equivalent to the fibrewise quantization of symplectic fibres of V^*Q -> R, that makes the quantum algebra of non-relativistic mechanics an instantwise algebra. Quantization of the classical evolution equation defines a connection on this instantwise algebra, which provides quantum evolution in non-relativistic mechanics as a parallel transport along time.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0012036
dc.identifierhttp://arxiv.org/abs/quant-ph/0012036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89221
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleCovariant geometric quantization of non-relativistic Hamiltonian mechanics
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