The Structure of Classical Extensions of Quantum Probability Theory

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dc.creatorStulpe, Werner
dc.creatorBusch, Paul
dc.date2007-08-11
dc.date.accessioned2026-07-07T09:29:58Z
dc.date.available2026-07-07T09:29:58Z
dc.descriptionOn the basis of a suggestive definition of a classical extension of quantum mechanics in terms of statistical models, we prove that every such classical extension is essentially given by the so-called Misra-Bugajski reduction map. We consider how this map enables one to understand quantum mechanics as a reduced classical statistical theory on the projective Hilbert space as phase space and discuss features of the induced hidden-variables model. Moreover, some relevant technical results on the topology and Borel structure of the projective Hilbert space are reviewed.
dc.identifierhttps://arxiv.org/abs/0708.1539
dc.identifierhttp://arxiv.org/abs/0708.1539
dc.identifierJ. Math. Phys. 49 (2008) 032104/1-22
dc.identifierdoi:10.1063/1.2884581
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157986
dc.subjectQuantum Physics
dc.titleThe Structure of Classical Extensions of Quantum Probability Theory
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