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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, 2013, Issue 1(30), Pages 387–397
DOI: https://doi.org/10.14498/vsgtu1138
(Mi vsgtu1138)
 

This article is cited in 7 scientific papers (total in 7 papers)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory

Space localization of the quantum particle

A. Yu. Samarin

Samara State Technical University, Samara, 443100, Russia
Full-text PDF (162 kB) Citations (7)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: It is shown, that in addition to the evolution quantum object motion wave equation in the integral form can describe the wave function reduction as a physical process. Such description is represented for the space localization process, taking place when the space coordinate is measured, and it is shown, that collapse arises, as the result of the quantum particle and corresponding measuring instrument interaction. This physical phenomenon mathematical image looks like the instantaneous transformation of the virtual paths set to the subset, determined by the measuring process conditions, when the macroscopic changes appears in the measuring instrument.In conventional quantum mechanics such Hilbert space collapse itself corresponds to such reduction phenomenon.
Keywords: wave function collapse, space-time description of the space localization, reduction process nonlocal property.
Original article submitted 09/X/2012
revision submitted – 13/II/2013
Bibliographic databases:
Document Type: Article
UDC: 53.03:(539.183-539.194)
MSC: 81S40, 58D30
Language: Russian
Citation: A. Yu. Samarin, “Space localization of the quantum particle”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 387–397
Citation in format AMSBIB
\Bibitem{Sam13}
\by A.~Yu.~Samarin
\paper Space localization of the quantum particle
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 387--397
\mathnet{http://mi.mathnet.ru/vsgtu1138}
\crossref{https://doi.org/10.14498/vsgtu1138}
\elib{https://elibrary.ru/item.asp?id=19117463}
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  • https://www.mathnet.ru/eng/vsgtu/v130/p387
  • This publication is cited in the following 7 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:600
    Full-text PDF :353
    References:75
    First page:1
     
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