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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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  • https://www.mathnet.ru/eng/tmf5537
  • https://doi.org/10.4213/tmf5537
  • https://www.mathnet.ru/eng/tmf/v149/i3/p457
    • This publication is cited in the following 15 articles:
    1. D. A. Slavnov, “Algebraic and Statistical Methods in Quantum and Gravitational Physics”, Phys. Part. Nuclei, 53:3 (2022), 706  crossref
    2. Yurii V. Brezhnev, “Linear Superposition as a Core Theorem of Quantum Empiricism”, Universe, 8:4 (2022), 217  crossref
    3. Slavnov D.A., “The Aharonov-Bohm Effect: An Algebraic Approach”, Phys. Part. Nuclei, 50:1 (2019), 77–86  crossref  isi
    4. Slavnov D.A., “Quantum Erasure and the Locality Problem”, Phys. Part. Nuclei, 48:4 (2017), 622–634  crossref  isi  scopus
    5. Slavnov D.A., “On evolution of the universe”, Phys. Part. Nuclei Lett., 13:1 (2016), 32–37  crossref  isi  elib  scopus
    6. Slavnov D.A., “the Wave-Particle Duality”, Phys. Part. Nuclei, 46:4 (2015), 665–677  crossref  adsnasa  isi  elib  scopus
    7. D. A. Slavnov, “Locality and time irreversibility in quantum processes”, Theoret. and Math. Phys., 179:3 (2014), 627–636  mathnet  crossref  crossref  adsnasa  isi  elib
    8. D. A. Slavnov, “Soft qubit”, Phys. Part. Nuclei Lett., 11:3 (2014), 329  crossref
    9. D. A. Slavnov, “Possibility of reconciling quantum mechanics with general relativity theory”, Theoret. and Math. Phys., 171:3 (2012), 848–861  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    10. Ustinov A.V., “Simulation of Two-Level Systems”, Mosc. Univ. Phys. Bull., 67:4 (2012), 340–345  crossref  adsnasa  isi  elib  scopus
    11. Ustinov A.V., “Modelirovanie dvukhurovnevykh sistem”, Vestnik moskovskogo universiteta. seriya 3: fizika. astronomiya, 2012, no. 4, 24–29 Two-level systems simulation  elib
    12. Slavnov, DA, “The locality problem in quantum measurements”, Physics of Particles and Nuclei, 41:1 (2010), 149  crossref  adsnasa  isi  scopus
    13. Slavnov D.A., “Macroscopic simulation of violation of Bell's inequality”, Physics of Particles and Nuclei, 41:5 (2010), 766–777  crossref  adsnasa  isi  scopus
    14. D. A. Slavnov, “Locality problem in quantum theory”, Theoret. and Math. Phys., 155:2 (2008), 789–801  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    15. D. A. Slavnov, “Quantum teleportation”, Theoret. and Math. Phys., 157:1 (2008), 1433–1447  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
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