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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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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2013, Issue 1(30), Pages 387–397 (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

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

DOI: https://doi.org/10.14498/vsgtu1138

Full text: PDF file (162 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 53.03:(539.183-539.194)
MSC: 81S40, 58D30
Original article submitted 09/X/2012
revision submitted – 13/II/2013

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{http://elibrary.ru/item.asp?id=19117463}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. Y. Samarin, “Quantum particle motion in physical space”, Advanced Studies in Theoretical Physics, 8:1 (2014), 27–34, arXiv: 1407.3559 [quant-ph]  crossref  scopus
    2. N. V. Meleshko, A. Yu. Samarin, “Spetsifika perekhoda k mnimomu vremeni v integrale po traektoriyam pri opisanii kollapsa volnovoi funktsii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 4(37) (2014), 170–177  mathnet  crossref  zmath  elib
    3. A. Yu. Samarin, Macroscopic Body Motion in Terms of Quantum Evolution, 2014, arXiv: 1408.0340 [quant-ph]
    4. A. Yu. Samarin, Non-mechanical nature of the wave function collapse, 2015, arXiv: 1507.07202 [quant-ph]
    5. A. Yu. Samarin, Quantum jump mechanics, 2015, arXiv: 1505.02393 [quant-ph]
    6. A. Yu. Samarin, “Nelokalnoe preobrazovanie volnovoi funktsii kvantovoi chastitsy kak otrazhenie transformatsii vnutrennei struktury raspredelennogo v prostranstve ob'ekta”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 20:3 (2016), 423–456  mathnet  crossref  zmath  elib
    7. A. Yu. Samarin, “Nonlinear dynamics of open quantum systems”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 22:2 (2018), 214–224  mathnet  crossref  zmath  elib
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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