Dynamical symmetries and conserved quantities
- 1 July 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (7) , 973-981
- https://doi.org/10.1088/0305-4470/12/7/012
Abstract
The invariance properties of second order dynamical systems under velocity dependent transformations of the coordinates and time are studied. For Lagrangian systems the connection between Noether conserved quantities and dynamical symmetries is not too direct; however, the author shows that for general systems dynamical symmetries always possess associated conserved quantities, which are invariants of the symmetry group itself. In the special case of point symmetries this yields the result that the associated conserved quantity is an invariant of the first extended group.Keywords
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