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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 125, Number 2, Pages 343–352
DOI: https://doi.org/10.4213/tmf674
(Mi tmf674)
 

This article is cited in 1 scientific paper (total in 1 paper)

Massive neutral Dirac particle in a curved space–time with the Kerr–Schild metric

D. E. Kumpyaka, V. P. Tsvetkovb

a Tver State University
b Tver State University, Department of Mathematics
Full-text PDF (215 kB) Citations (1)
References:
Abstract: A method for constructing the solution of the general covariant Dirac equation is developed. The solution has the form of a wave packet in the case of a slightly (compared to the wave packet size) curved space–time with the Kerr–Schild metric and describes the evolution of the spin states of a massive neutral particle with a half-integer spin. The method allows reducing the Dirac equation to a system of ordinary differential equations for the spinor amplitudes (with the necessary accuracy). We propose an iterative procedure for solving the system based on expansion with respect to a small parameter equal to the ratio between the particle wave length and the characteristic spatial scale of the change of the metric. The characteristic dissipation time of a wave packet moving in a curved space–time is estimated.
Received: 18.04.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 125, Issue 2, Pages 1593–1601
DOI: https://doi.org/10.1007/BF02551018
Bibliographic databases:
Language: Russian
Citation: D. E. Kumpyak, V. P. Tsvetkov, “Massive neutral Dirac particle in a curved space–time with the Kerr–Schild metric”, TMF, 125:2 (2000), 343–352; Theoret. and Math. Phys., 125:2 (2000), 1593–1601
Citation in format AMSBIB
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\by D.~E.~Kumpyak, V.~P.~Tsvetkov
\paper Massive neutral Dirac particle in a curved space--time with the Kerr--Schild metric
\jour TMF
\yr 2000
\vol 125
\issue 2
\pages 343--352
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\crossref{https://doi.org/10.4213/tmf674}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1837693}
\zmath{https://zbmath.org/?q=an:0982.83024}
\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 125
\issue 2
\pages 1593--1601
\crossref{https://doi.org/10.1007/BF02551018}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000166090500012}
Linking options:
  • https://www.mathnet.ru/eng/tmf674
  • https://doi.org/10.4213/tmf674
  • https://www.mathnet.ru/eng/tmf/v125/i2/p343
  • This publication is cited in the following 1 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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    Abstract page:548
    Full-text PDF :242
    References:93
    First page:1
     
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