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

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• 作者：A. Yu. Khrennikov (127)
  B. Nilsson (127)
  S. Nordebo (127)
  
• 关键词：foundations of quantum mechanics ; Born’s rule ; detection probability ; classical random field ; threshold detector
• 刊名：Theoretical and Mathematical Physics
• 出版年：2013
• 出版时间：February 2013
• 年：2013
• 卷：174
• 期：2
• 页码：298-306
• 全文大小：452KB
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• 作者单位：A. Yu. Khrennikov (127)
  B. Nilsson (127)
  S. Nordebo (127)
  
  127. International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, V?xj?, Sweden
  
• ISSN：1573-9333

文摘

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.