DYNAMICAL SYMMETRIES AND CONSERVED QUANTITIES

被引:335
作者
LUTZKY, M
机构
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 07期
关键词
D O I
10.1088/0305-4470/12/7/012
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:973 / 981
页数:9
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