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Fundamentalnaya i Prikladnaya Matematika, 2009, Volume 15, Issue 6, Pages 201–210 (Mi fpm1267)  
This article is cited in 3 scientific papers (total in 3 papers)

Finslerian 3-spinors and the generalized Duffin–Kemmer equation

A. V. Solov'yov

M. V. Lomonosov Moscow State University
Full-text PDF (126 kB) Citations (3) English version article
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Abstract: The main facts of the geometry of Finslerian 3-spinors are formulated. The close connection between Finslerian 3-spinors and vectors of the 9-dimensional linear Finslerian space is established. The isometry group of this space is described. The procedure of dimensional reduction to 4-dimensional quantities is formulated. The generalized Duffin–Kemmer equation for a Finslerian 3-spinor wave function of a free particle in the momentum representation is obtained. From the viewpoint of a 4-dimensional observer, this 9-dimensional equation splits into the standard Dirac and Klein–Gordon equations.
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 172, Issue 6, Pages 894–900
DOI: https://doi.org/10.1007/s10958-011-0231-z
Bibliographic databases:
Document Type: Article
UDC: 514.744.2+514.763.6
Language: Russian
Citation: A. V. Solov'yov, “Finslerian 3-spinors and the generalized Duffin–Kemmer equation”, Fundam. Prikl. Mat., 15:6 (2009), 201–210; J. Math. Sci., 172:6 (2011), 894–900
Citation in format AMSBIB
\Bibitem{Sol09}
\by A.~V.~Solov'yov
\paper Finslerian 3-spinors and the generalized Duffin--Kemmer equation
\jour Fundam. Prikl. Mat.
\yr 2009
\vol 15
\issue 6
\pages 201--210
\mathnet{http://mi.mathnet.ru/fpm1267}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2744999}
\transl
\jour J. Math. Sci.
\yr 2011
\vol 172
\issue 6
\pages 894--900
\crossref{https://doi.org/10.1007/s10958-011-0231-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79651470942}
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  • https://www.mathnet.ru/eng/fpm/v15/i6/p201
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Фундаментальная и прикладная математика
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