Symmetries of Lagrangians and of their equations of motion

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Abstract

A new kind of Lagrangian symmetry is defined in such a way that the resulting set of Lagrangian symmetries coincides with the set of symmetries of its equations of motion. Several constants of motion may be associated to each of the new symmetry transformations. One example is presented.

Original languageEnglish
Article number012
Pages (from-to)2399-2412
Number of pages14
JournalJournal of Physics A: General Physics
Volume17
Issue number12
DOIs
StatePublished - 1984

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