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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 194, Number 3, Pages 468–480
DOI: https://doi.org/10.4213/tmf9283
(Mi tmf9283)
 

This article is cited in 2 scientific papers (total in 2 papers)

Bose–Einstein condensate and singularities of the frequency dispersion of the permittivity in a disordered Coulomb system

V. B. Bobrovab, S. A. Trigera

a Joint Institute for High Temperatures, RAS, Moscow, Russia
b National Research University "Moscow Power Engineering Institute", Moscow, Russia
Full-text PDF (449 kB) Citations (2)
References:
Abstract: In the framework of linear response theory, we consider the frequency dispersion of the permittivity of a disordered Coulomb system in the presence of the one-particle Bose–Einstein condensate for nuclei. We show that the superconductivity of nuclei exists in such a system and is manifested in the Meissner effect for a weakly nonuniform low-frequency electromagnetic field. The obtained result offers an opportunity to solve the problem of the presence of the one-particle Bose–Einstein condensate in superfluid He-II based on direct experiments.In the framework of linear response theory, we consider the frequency dispersion of the permittivity of a disordered Coulomb system in the presence of the one-particle Bose–Einstein condensate for nuclei. We show that the superconductivity of nuclei exists in such a system and is manifested in the Meissner effect for a weakly nonuniform low-frequency electromagnetic field. The obtained result offers an opportunity to solve the problem of the presence of the one-particle Bose–Einstein condensate in superfluid He-II based on direct experiments.
Keywords: Bose–Einstein condensate, Coulomb system, permittivity, frequency dispersion.
Funding agency Grant number
Russian Science Foundation 14-50-00124
This research was supported by a grant from the Russian Science Foundation (Project No. 14-50-00124).
Received: 03.10.2016
Revised: 13.01.2017
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. B. Bobrov, S. A. Triger, “Bose–Einstein condensate and singularities of the frequency dispersion of the permittivity in a disordered Coulomb system”, TMF, 194:3 (2018), 468–480; Theoret. and Math. Phys., 193:3 (2018), 404–414
Citation in format AMSBIB
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\by V.~B.~Bobrov, S.~A.~Triger
\paper Bose--Einstein condensate and singularities of the~frequency dispersion of the~permittivity in a~disordered Coulomb system
\jour TMF
\yr 2018
\vol 194
\issue 3
\pages 468--480
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\crossref{https://doi.org/10.4213/tmf9283}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3769237}
\elib{https://elibrary.ru/item.asp?id=32641417}
\transl
\jour Theoret. and Math. Phys.
\yr 2018
\vol 193
\issue 3
\pages 404--414
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000429233100008}
Linking options:
  • https://www.mathnet.ru/eng/tmf9283
  • https://doi.org/10.4213/tmf9283
  • https://www.mathnet.ru/eng/tmf/v194/i3/p468
  • This publication is cited in the following 2 articles:
    1. V. B. Bobrov, S. A. Trigger, “Frequency depending permittivity of Coulomb system with the Bose-Einstein condensate”, XXXIII International Conference on Equations of State For Matter, Journal of Physics Conference Series, 1147, IOP Publishing Ltd, 2019, 012106  crossref  isi
    2. Bobrov V.B., Zagorodny A.G., Trigger S.A., “On the Ground-State Energy of a Finite Inhomogeneous Degenerate Bose Gas”, Low Temp. Phys., 44:11 (2018), 1211–1214  crossref  isi
    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:529
    Full-text PDF :113
    References:56
    First page:11
     
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