A new conservation law constructed without using either Lagrangians or Hamiltonians

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Abstract

A new conservation theorem is derived. The conserved quantity is constructed in terms of a symmetry transformation vector of the equations of motion only, without using either Lagrangian or Hamiltonian structures (which may even fail to exist for the equations at hand). One example and implications of the theorem on the structure of point symmetry transformations are presented.

Original languageEnglish
Article number002
Pages (from-to)L291-L295
JournalJournal of Physics A: General Physics
Volume25
Issue number7
DOIs
StatePublished - 1992

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