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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 87, Number 1, Pages 76–85 (Mi tmf5471)  

This article is cited in 19 scientific papers (total in 19 papers)

Connection between the symmetry properties of the Dirac and Maxwell equations. Conservation laws

V. M. Simulik
References:
Abstract: A family of local eight-parameter transformations that carry the massless Dirac equation into Maxwell's equations, and also connect the symmetry properties of these equations is found. It is shown that such transformations also relate the conserved quantities for the spinor and electromagnetic fields. On the basis of these connections, a new method is proposed for investigating the symmetry properties of Maxwell's equations together with a convenient method for finding the conserved quantities for the electromagnetic field. The symmetry properties of Maxwell's equations are derived from the symmetries of the massless Dirac equation, and the conservation laws for the electromagnetic field are obtained from those for the Dirac equation by replacing the spinor $\psi$ by a definite combination of components of the electromagnetic field strengths and passage to the limit $m\to 0$. A 128-dimensional invariance algebra of the free Maxwell equations in Dirac-like form is established, and 64 electromagnetic conservation laws are obtained.
Received: 17.09.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 87, Issue 1, Pages 386–393
DOI: https://doi.org/10.1007/BF01016578
Bibliographic databases:
Language: Russian
Citation: V. M. Simulik, “Connection between the symmetry properties of the Dirac and Maxwell equations. Conservation laws”, TMF, 87:1 (1991), 76–85; Theoret. and Math. Phys., 87:1 (1991), 386–393
Citation in format AMSBIB
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\by V.~M.~Simulik
\paper Connection between the symmetry properties of the Dirac and Maxwell equations. Conservation laws
\jour TMF
\yr 1991
\vol 87
\issue 1
\pages 76--85
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1122780}
\zmath{https://zbmath.org/?q=an:1189.78007}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 87
\issue 1
\pages 386--393
\crossref{https://doi.org/10.1007/BF01016578}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991HG83500008}
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  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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