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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 149, Number 3, Pages 457–472
DOI: https://doi.org/10.4213/tmf5537 (Mi tmf5537) 		 
This article is cited in 15 scientific papers (total in 15 papers)

The possibility of reconciling quantum mechanics with classical probability theory

D. A. Slavnov

M. V. Lomonosov Moscow State University
Full-text PDF (389 kB) Citations (15)
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DOI: https://doi.org/10.4213/tmf5537
Abstract: 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, algebra of observables, probability theory, quantum state reduction.
Received: 30.03.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 149, Issue 3, Pages 1690–1701
DOI: https://doi.org/10.1007/s11232-006-0151-0
Bibliographic databases:
Language: Russian
Citation: D. A. Slavnov, “The possibility of reconciling quantum mechanics with classical probability theory”, TMF, 149:3 (2006), 457–472; Theoret. and Math. Phys., 149:3 (2006), 1690–1701
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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