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TMF, 1989, Volume 80, Number 2, Pages 274–287 (Mi tmf5140)  

This article is cited in 3 scientific papers (total in 3 papers)

Noether analysis of zilch conservation laws and their generalization for the electromagnetic field. I. Use of different formulations of the principle of least action

I. Yu. Krivsky, V. M. Simulik


Abstract: Conservation laws for the electromagnetic field are obtained in the framework of the Lagrangian approach in terms of field strengths (and not of the potentials) on the basis of the 32-dimensional algebra of invariance of the Maxwell equations and the Noether theorem. The correspondence between symmetry operators and conservation laws is analysed which is determined by various Lagrangians. New sets of conservation laws are found.

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English version:
Theoretical and Mathematical Physics, 1989, 80:2, 864–874

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Received: 17.12.1987

Citation: I. Yu. Krivsky, V. M. Simulik, “Noether analysis of zilch conservation laws and their generalization for the electromagnetic field. I. Use of different formulations of the principle of least action”, TMF, 80:2 (1989), 274–287; Theoret. and Math. Phys., 80:2 (1989), 864–874

Citation in format AMSBIB
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\paper Noether analysis of~zilch conservation laws and their generalization for the electromagnetic field. I.~Use of~different formulations of~the principle of~least action
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\yr 1989
\vol 80
\issue 2
\pages 274--287
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1021464}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 80
\issue 2
\pages 864--874
\crossref{https://doi.org/10.1007/BF01016113}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1989CW43800009}


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    Citing articles on Google Scholar: Russian citations, English citations
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    Cycle of papers

    This publication is cited in the following articles:
    1. I. Yu. Krivsky, V. M. Simulik, “Noether analysis of zilch conservation laws and their generalization for the electromagnetic field. II. Use of Poincaré-invariant formulation of the principle of least action”, Theoret. and Math. Phys., 80:3 (1989), 912–921  mathnet  crossref  mathscinet  isi
    2. V. M. Simulik, “Connection between the symmetry properties of the Dirac and Maxwell equations. Conservation laws”, Theoret. and Math. Phys., 87:1 (1991), 386–393  mathnet  crossref  mathscinet  zmath  isi
    3. I. Yu. Krivsky, V. M. Simulik, “Dirac equation and spin 1 representations, a connection with symmetries of the Maxwell equations”, Theoret. and Math. Phys., 90:3 (1992), 265–276  mathnet  crossref  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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