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Remarks on the GNS Representation and the Geometry of Quantum States

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dc.contributor.author Chruściński, Dariusz
dc.contributor.author Marmo, Giuseppe
dc.date.accessioned 2012-11-30T08:46:17Z
dc.date.available 2012-11-30T08:46:17Z
dc.date.issued 2008-10-09
dc.identifier.citation Open Syst.Info.Dyn.16:157-177,2009
dc.identifier.uri http://repozytorium.umk.pl/handle/item/189
dc.description.abstract It is shown how to introduce a geometric description of the algebraic approach to the non-relativistic quantum mechanics. It turns out that the GNS representation provides not only symplectic but also Hermitian realization of a `quantum Poisson algebra'. We discuss alternative Hamiltonian structures emerging out of different GNS representations which provide a natural setting for quantum bi-Hamiltonian systems.
dc.language.iso eng
dc.relation.uri http://arxiv.org/abs/0810.1660
dc.rights info:eu-repo/semantics/openAccess
dc.subject Mathematical Physics
dc.subject Quantum Physics
dc.title Remarks on the GNS Representation and the Geometry of Quantum States
dc.type info:eu-repo/semantics/article


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