Geometrization of Quantum Mechanics

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dc.creatorCarinena, J. F.
dc.creatorClemente-Gallardo, J.
dc.creatorMarmo, G.
dc.date2007-01-19
dc.date2007-03-23
dc.date.accessioned2026-07-07T10:38:17Z
dc.date.available2026-07-07T10:38:17Z
dc.descriptionWe show that it is possible to represent various descriptions of Quantum Mechanics in geometrical terms. In particular we start with the space of observables and use the momentum map associated with the unitary group to provide an unified geometrical description for the different pictures of Quantum Mechanics. This construction provides an alternative to the usual GNS construction for pure states.
dc.description16 pages. To appear in Theor. Math. Phys. Some typos corrected. Definition 2 in page 5 rewritten
dc.identifierhttps://arxiv.org/abs/math-ph/0701053
dc.identifierhttp://arxiv.org/abs/math-ph/0701053
dc.identifierTheor.Math.Phys.152:894-903,2007
dc.identifierdoi:10.1007/s11232-007-0075-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180668
dc.subjectMathematical Physics
dc.subject81Q70
dc.titleGeometrization of Quantum Mechanics
dc.typetext

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