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Quantum rule for detection probability from Brownian motion in the space of classical fields
Linnaeus University, Faculty of Engineering and Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
Linnaeus University, Faculty of Engineering and Technology, Department of Mathematics.
Linnaeus University, Faculty of Engineering and Technology, Department of Physics and Electrical Engineering.ORCID iD: 0000-0002-7018-6248
2013 (English)In: Theoretical and mathematical physics, ISSN 0040-5779, E-ISSN 1573-9333, Vol. 174, no 2, 298-306 p.Article in journal (Refereed) Published
Abstract [en]

We obtain Born's rule from the classical theory of random waves in combination with the use of thresholdtype 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.

Place, publisher, year, edition, pages
2013. Vol. 174, no 2, 298-306 p.
Keyword [en]
foundations of quantum mechanics, Born's rule, detection probability, classical random field, threshold detector
National Category
Physical Sciences
Research subject
Natural Science, Mathematics; Natural Science, Physics
Identifiers
URN: urn:nbn:se:lnu:diva-25307DOI: 10.1007/s11232-013-0027-zISI: 000316338500014OAI: oai:DiVA.org:lnu-25307DiVA: diva2:615686
Available from: 2013-04-11 Created: 2013-04-11 Last updated: 2017-01-10Bibliographically approved

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Khrennikov, AndreiNilsson, BörjeNordebo, Sven
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  • Other locale
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