caa a22 4500 463195426 CHVBK 20180406164921.0 cr unu---uuuuu 170326e20070101xx s 000 0 eng 10.1007/s10773-006-9193-1 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9193-1 Quantum Logic and Non-Commutative Geometry [Elektronische Daten] [P. Marchetti, R. Rubele] We 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 physical states in the standard (W *-)algebraic approach to classical mechanics. Springer Science+Business Media, Inc., 2006 quantum logic nationallicence non-commutative geometry nationallicence Baire*-algebras nationallicence Marchetti P. Dipartimento di Fisica, Università degli Studi di Padova, Padova, Italia aut Rubele R. Dipartimento di Fisica "E.R. Caianiello,”, Università degli Studi di Salerno, Salerno, Italia aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/1(2007-01-01), 49-62 0020-7748 46:1<49 2007 46 10773 https://doi.org/10.1007/s10773-006-9193-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9193-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Marchetti P. Dipartimento di Fisica, Università degli Studi di Padova, Padova, Italia aut NATIONALLICENCE 700 1- Rubele R. Dipartimento di Fisica "E.R. Caianiello,”, Università degli Studi di Salerno, Salerno, Italia aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/1(2007-01-01), 49-62 0020-7748 46:1<49 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer