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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 136, Number 3, Pages 436–443
DOI: https://doi.org/10.4213/tmf230 (Mi tmf230) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Quantum Measurements and Kolmogorov's Theory of Probability

D. A. Slavnov

M. V. Lomonosov Moscow State University
Full-text PDF (173 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf230
Abstract: A connection between the probability space measurability requirement and the complementarity principle in quantum mechanics is established. It is shown that measurability of the probability space implies that the results of the quantum measurement depend not only on properties of the quantum object under consideration but also on classical characteristics of the measuring instruments used. It is also shown that if the measurability requirement is taken into account, then the hypothesis that the objective reality exists does not lead to the Bell inequality.
Keywords: measurability of space, quantum measurement, Bell inequality.
Received: 17.09.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 136, Issue 3, Pages 1273–1279
DOI: https://doi.org/10.1023/A:1025699215626
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Language: Russian
Citation: D. A. Slavnov, “Quantum Measurements and Kolmogorov's Theory of Probability”, TMF, 136:3 (2003), 436–443; Theoret. and Math. Phys., 136:3 (2003), 1273–1279
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\issue 3
\pages 1273--1279
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  • https://www.mathnet.ru/eng/tmf/v136/i3/p436
    • This publication is cited in the following 9 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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    References:66
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