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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 2, Pages 249–269
DOI: https://doi.org/10.4213/tmf6396
(Mi tmf6396)
 

This article is cited in 10 scientific papers (total in 10 papers)

The vacuum structure, special relativity theory, and quantum mechanics: A return to the field theory approach without geometry

N. N. Bogolyubov (Jr.)ab, A. K. Prikarpatskiicd, U. Tanerief

a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
b The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
c Ivan Franko State Pedagogical University, Drogobych, Ukraine
d The AGH University of Science and Technology, Department of Applied Mathematics, Krakow, Poland
e Eastern Mediterranean University, Department of Applied Mathematics and Computer Science, Famagusta
f Kyrenia American University, Institute of Graduate Studies, Kyrenia, Cyprus
References:
Abstract: We formulate the main fundamental principles characterizing the vacuum field structure and also analyze the model of the related vacuum medium and charged point particle dynamics using the developed field theory methods. We consider a new approach to Maxwell's theory of electrodynamics, newly deriving the basic equations of that theory from the suggested vacuum field structure principles; we obtain the classical special relativity theory relation between the energy and the corresponding point particle mass. We reconsider and analyze the expression for the Lorentz force in arbitrary noninertial reference frames. We also present some new interpretations of the relations between special relativity theory and quantum mechanics. We obtain the famous quantum mechanical Schrödinger-type equations for a relativistic point particle in external potential and magnetic fields in the semiclassical approximation as the Planck constant $\hbar\to0$ and the speed of light $c\to\infty$.
Keywords: vacuum structure, local mass conservation law, local momentum conservation law, Lorentz force, relativity theory.
Received: 20.08.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 2, Pages 1079–1095
DOI: https://doi.org/10.1007/s11232-009-0101-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, U. Taneri, “The vacuum structure, special relativity theory, and quantum mechanics: A return to the field theory approach without geometry”, TMF, 160:2 (2009), 249–269; Theoret. and Math. Phys., 160:2 (2009), 1079–1095
Citation in format AMSBIB
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\by N.~N.~Bogolyubov (Jr.), A.~K.~Prikarpatskii, U.~Taneri
\paper The~vacuum structure, special relativity theory, and~quantum mechanics: A~return to the~field theory approach without geometry
\jour TMF
\yr 2009
\vol 160
\issue 2
\pages 249--269
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\crossref{https://doi.org/10.4213/tmf6396}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2604550}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009TMP...160.1079B}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 160
\issue 2
\pages 1079--1095
\crossref{https://doi.org/10.1007/s11232-009-0101-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000269885900002}
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  • https://www.mathnet.ru/eng/tmf6396
  • https://doi.org/10.4213/tmf6396
  • https://www.mathnet.ru/eng/tmf/v160/i2/p249
  • This publication is cited in the following 10 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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    Full-text PDF :608
    References:105
    First page:40
     
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