Quantum Logic and Non-Commutative Geometry

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dc.creatorMarchetti, P. A.
dc.creatorRubele, R.
dc.date2004-05-26
dc.date.accessioned2026-07-07T07:48:56Z
dc.date.available2026-07-07T07:48:56Z
dc.descriptionWe propose a general scheme for the "logic" of elementary propositions of physical systems, encompassing both classical and quantum cases, in the framework given by Non Commutative Geometry. It involves Baire*-algebras, the non-commutative version of measurable functions, arising as envelope of the C*-algebras identifying the topology of the (non-commutative) phase space. We outline some consequences of this proposal in different physical systems. This approach in particular avoids some problematic features appearing in the definition of the state of "initial conditions" in the standard W*-algebraic approach to classical systems.
dc.description16 pages, to be published in the International Journal of Theoretical Physics, without Appendix
dc.identifierhttps://arxiv.org/abs/quant-ph/0405159
dc.identifierhttp://arxiv.org/abs/quant-ph/0405159
dc.identifierInt.J.Theor.Phys. 46 (2007) 49-62
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124675
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleQuantum Logic and Non-Commutative Geometry
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