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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

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

This article is cited 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

DOI: 10.4213/tmf8416


 English version:
Theoretical and Mathematical Physics, 2013, 174:2, 298–306

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