Geodesic
The~possibility of reconciling quantum mechanics with classical probability theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 3, pp. 457-472

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We describe a scheme for constructing quantum mechanics in which a quantum system is considered as a collection of open classical subsystems. This allows using the formal classical logic and classical probability theory in quantum mechanics. Our approach nevertheless allows completely reproducing the standard mathematical formalism of quantum mechanics and identifying its applicability limits. We especially attend to the quantum state reduction problem.
Keywords: quantum measurement, probability theory, quantum state reduction.
Mots-clés : algebra of observables 
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     author = {D. A. Slavnov},
     title = {The~possibility of reconciling quantum mechanics with classical probability theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {457--472},
     publisher = {mathdoc},
     volume = {149},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_149_3_a9/}
}
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D. A. Slavnov. The~possibility of reconciling quantum mechanics with classical probability theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 3, pp. 457-472. http://geodesic.mathdoc.fr/item/TMF_2006_149_3_a9/