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This article is cited in 5 scientific papers (total in 5 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.
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
Linking options:
https://www.mathnet.ru/eng/tmf8416https://doi.org/10.4213/tmf8416 https://www.mathnet.ru/eng/tmf/v174/i2/p342
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