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Conservation laws and Lie-Bäcklund symmetry

  • Physics Of Elementary Particles And Field Theory
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Abstract

A new formula is proposed, expressing the conserved currents of a Lagrangian system of equations in partial derivatives through its Lie-Bäcklund symmetry. A full description is given of the conserved currents for the Schrödinger, Dirac, Klein-Gordon, and Maxwell equations.

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Additional information

Pedagogical Institute, Orlov. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 9–14, July, 1995.

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Meshkov, A.G. Conservation laws and Lie-Bäcklund symmetry. Russ Phys J 38, 657–662 (1995). https://doi.org/10.1007/BF00560264

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  • DOI: https://doi.org/10.1007/BF00560264

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