Generalized Lagrangian symmetries depending on higher order derivatives. Conservation laws and the characteristic equation

Details Generalized Lagrangian symmetries depending on higher order derivatives. Conservation laws and the characteristic equation Generalized Lagrangian symmetries depending on higher order derivatives. Conservation laws and the characteristic equation

2003-04-16

arxiv.org/abs/math-ph/0304025v3

Physics

Mathematical Physics

8 pages

Scientific paper

Given a finite order Lagrangian L on a fibre bundle, its global generalized
symmetries depending on higher order derivatives of dynamic variables are
considered. The first variational formula is obtained. It leads both to the
corresponding Lagarngian conservation laws and the characteristic equation for
generalized symmetries of L.

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