Algebras of Measurements: the logical structure of Quantum Mechanics

dc.creatorLehmann, Daniel
dc.creatorEngesser, Kurt
dc.creatorGabbay, Dov M.
dc.date2005-07-24
dc.date2005-12-08
dc.date.accessioned2026-07-07T06:43:37Z
dc.date.available2026-07-07T06:43:37Z
dc.descriptionIn Quantum Physics, a measurement is represented by a projection on some closed subspace of a Hilbert space. We study algebras of operators that abstract from the algebra of projections on closed subspaces of a Hilbert space. The properties of such operators are justified on epistemological grounds. Commutation of measurements is a central topic of interest. Classical logical systems may be viewed as measurement algebras in which all measurements commute. Keywords: Quantum measurements, Measurement algebras, Quantum Logic. PACS: 02.10.-v.
dc.descriptionSubmitted, 30 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0507231
dc.identifierhttp://arxiv.org/abs/quant-ph/0507231
dc.identifierInternational Journal of Theoretical Physics, 45(4) April 2006, pages 698-723
dc.identifierdoi:10.1007/s10773-006-9062-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102482
dc.subjectQuantum Physics
dc.subjectArtificial Intelligence
dc.titleAlgebras of Measurements: the logical structure of Quantum Mechanics
dc.typetext

Files

Collections