Dynamical symmetries and conserved quantities

作者: M Lutzky

DOI: 10.1088/0305-4470/12/7/012

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摘要: The invariance properties of second order dynamical systems under velocity dependent transformations the coordinates and time are studied. For Lagrangian connection between Noether conserved quantities symmetries is not too direct; however, author shows that for general always possess associated quantities, which invariants symmetry group itself. In special case point this yields result quantity an invariant first extended group.

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