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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 3(24), Pages 117–128
DOI: https://doi.org/10.14498/vsgtu911
(Mi vsgtu911)
 

This article is cited in 6 scientific papers (total in 6 papers)

Theoretical Physics

Natural space of the micro-object

A. Yu. Samarin

Dept. of General Physics and Physics of Oil and Gas Production, Samara State Technical University, Samara
Full-text PDF (224 kB) Citations (6)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The immutability of classical dynamical laws for the microscopic object in the space which coordinate axes are the transition matrix elements of the corresponding coordinates is proved. It is stated that measurement is a micro-object localization process in the classical space when it interacts with the device. The description of the wave function reduction is obtained using the path integrals. The mechanism of the probability arising on measurement is offered, where the “hidden parameter” that is the cause of the measurement randomness of microscopic characteristics relates to the interaction process of classical instrument with micro-object. Both types of quantum mechanics processes — evolution and reduction of the wave functions — are described in a unified approach.
Keywords: transition matrix elements, path integral, microscopic natural space, the principle of the minimal action, the wave function reduction, hidden parameter, non-locality of the measurement process.
Original article submitted 28/XII/2010
revision submitted – 25/VII/2011
Bibliographic databases:
Document Type: Article
UDC: 53.03:(539.183-539.194)
MSC: Primary 81S40; Secondary 58D30
Language: Russian
Citation: A. Yu. Samarin, “Natural space of the micro-object”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(24) (2011), 117–128
Citation in format AMSBIB
\Bibitem{Sam11}
\by A.~Yu.~Samarin
\paper Natural space of the micro-object
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 3(24)
\pages 117--128
\mathnet{http://mi.mathnet.ru/vsgtu911}
\crossref{https://doi.org/10.14498/vsgtu911}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu911
  • https://www.mathnet.ru/eng/vsgtu/v124/p117
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:487
    Full-text PDF :214
    References:88
    First page:1
     
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