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TMF, 2013, Volume 174, Number 2, Pages 342–352 (Mi tmf8416)  

This article is cited in 3 scientific papers (total in 3 papers)

Quantum rule for detection probability from Brownian motion in the space of classical fields

A. Yu. Khrennikov, B. Nilsson, S. Nordebo

International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, Växjö, Sweden

Abstract: We obtain Born's rule from the classical theory of random waves in combination with the use of threshold-type detectors. We consider a model of classical random waves interacting with classical detectors and reproducing Born's rule. We do not discuss complicated interpretational problems of quantum foundations. The reader can select between the “weak interpretation”, the classical mathematical simulation of the quantum measurement process, and the “strong interpretation”, the classical wave model of the real quantum (in fact, subquantum) phenomena.

Keywords: foundations of quantum mechanics, Born's rule, detection probability, classical random field, threshold detector

DOI: https://doi.org/10.4213/tmf8416

Full text: PDF file (476 kB)
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English version:
Theoretical and Mathematical Physics, 2013, 174:2, 298–306

Bibliographic databases:

Document Type: Article
Received: 27.09.2012

Citation: A. Yu. Khrennikov, B. Nilsson, S. Nordebo, “Quantum rule for detection probability from Brownian motion in the space of classical fields”, TMF, 174:2 (2013), 342–352; Theoret. and Math. Phys., 174:2 (2013), 298–306

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. Khrennikov, I. Basieva, “Quantum-state dynamics as linear representation of classical (nonlinear) stochastic dynamics”, J. Russ. Laser Res., 35:1 (2014), 71–78  crossref  mathscinet  isi  elib
    2. A. Khrennikov, “Emergence of quantum mechanics from theory of random fields”, J. Russ. Laser Res., 38:1 (2017), 9–26  crossref  isi  scopus
    3. A. Khrennikov, “The present situation in quantum theory and its merging with general relativity”, Found. Phys., 47:8, SI (2017), 1077–1099  crossref  mathscinet  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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