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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 172, Number 1, Pages 155–176
DOI: https://doi.org/10.4213/tmf6934
(Mi tmf6934)
 

This article is cited in 1 scientific paper (total in 1 paper)

View of bunching and antibunching from the standpoint of classical signals

A. Yu. Khrennikov

International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, Växjö, Sweden
Full-text PDF (559 kB) Citations (1)
References:
Abstract: The similarity between classical wave mechanics and quantum mechanics was noted in the works of De Broglie, Schrödinger, “late” Einstein, Lamb, Lande, Mandel, Marshall, Santos, Boyer, and many others. We present a new wave model of quantum mechanics, the so-called prequantum classical statistical field theory, in which an analogy between some quantum phenomena and the classical theory of random fields is investigated. Quantum systems are interpreted as symbolic representations of such fields (not only for photons, cf. Lande and Lamb, but even for massive particles). All quantum averages and correlations (including composite systems in entangled states) can be represented as averages and correlations for classical random fields. We use the prequantum classical statistical field theory to obtain bunching and antibunching in the framework of classical signal theory. We note that antibunching at least is typically considered an essentially quantum (nonclassical) phenomenon.
Keywords: quantum mechanics as emergent phenomenon, classical random field, quantum correlation, classical correlation, bunching, antibunching.
Received: 21.07.2011
Revised: 10.10.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 172, Issue 1, Pages 1017–1034
DOI: https://doi.org/10.1007/s11232-012-0092-8
Bibliographic databases:
Language: Russian
Citation: A. Yu. Khrennikov, “View of bunching and antibunching from the standpoint of classical signals”, TMF, 172:1 (2012), 155–176; Theoret. and Math. Phys., 172:1 (2012), 1017–1034
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6934
  • https://doi.org/10.4213/tmf6934
  • https://www.mathnet.ru/eng/tmf/v172/i1/p155
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:448
    Full-text PDF :191
    References:79
    First page:28
     
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