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dc.contributor.authorGimeno García, Vicent
dc.contributor.authorMartínez Sotoca, José
dc.date.accessioned2014-03-05T13:08:26Z
dc.date.available2014-03-05T13:08:26Z
dc.date.issued2013-05
dc.identifier.citationGIMENO, Vicent; SOTOCA, José M. Geometric approach to non-relativistic quantum dynamics of mixed states. Journal of Mathematical Physics, 2013, 54.5: 052108.ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/85551
dc.description.abstractIn this paper we propose a geometrization of the non-relativistic quantum mechanics for mixed states. Our geometric approach makes use of the Uhlmann's principal fibre bundle to describe the space of mixed states and as a novelty tool, to define a dynamic-dependent metric tensor on the principal manifold, such that the projection of the geodesic flow to the base manifold gives the temporal evolution predicted by the von Neumann equation. Using that approach we can describe every conserved quantum observable as a Killing vector field, and provide a geometric proof for the Poincaré quantum recurrence in a physical system with finite energy levels.ca_CA
dc.format.extent13 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherAIP Publishing LLCca_CA
dc.relation.isPartOfJournal of Mathematical Physics Volume 54, Issue 5, May 2013ca_CA
dc.rights© 2013 AIP Publishing LLC.ca_CA
dc.subjectnon-relativistic quantum mechanicsca_CA
dc.subjectmixed statesca_CA
dc.subjectgeometrizationca_CA
dc.titleGeometric approach to non-relativistic quantum dynamics of mixed statesca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1063/1.4807096
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA


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