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Lagrange Anchor for Bargmann–Wigner Equations

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Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

Abstract

A Poincaré invariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s >1/2 in four-dimensional Minkowski space. By making use of this Lagrange anchor, we assign a symmetry to each conservation law.

Mathematics Subject Classification (2010). Primary 70S10; Secondary 81T70.

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Author information

Authors and Affiliations

  1. Department of Quantum Field Theory, Tomsk State University, Lenin ave. 36, Tomsk, 634050, Russia

    D. S. Kaparulin, S. L. Lyakhovich & A. A. Sharapov

  2. Department of Higher Mathematics and Mathematical Physics, Tomsk Polytechnic University, Lenin ave. 30, Tomsk, 634050, Russia

    D. S. Kaparulin

Authors
  1. D. S. Kaparulin
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  2. S. L. Lyakhovich
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  3. A. A. Sharapov
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Corresponding author

Correspondence to D. S. Kaparulin .

Editor information

Editors and Affiliations

  1. Departamento de Física, CINVESTAV, Mexico City, Distrito Federal, Mexico

    Piotr Kielanowski

  2. Dept. of Mathematics and Statistics, Concordia University, Montreal, Québec, Canada

    S. Twareque Ali

  3. Department of Mathematics - MC J415, Brock University, St. Catharines, Ontario, Canada

    Alexander Odesskii

  4. Institute of Mathematics, University of Bialystok, Bialystok, Poland

    Anatol Odzijewicz

  5. Mathematics Research Unit, FSTC, University of Luxembourg, Luxembourg-Kirchberg, Luxembourg

    Martin Schlichenmaier

  6. School of Mathematics, University of Manchester, Manchester, United Kingdom

    Theodore Voronov

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Kaparulin, D.S., Lyakhovich, S.L., Sharapov, A.A. (2013). Lagrange Anchor for Bargmann–Wigner Equations. In: Kielanowski, P., Ali, S., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0645-9_10

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