Weakly Noether Symmetry of a Lagrange System
Shui Xiao-ping
Abstract
Shui Xiao-ping
Abstract
A kind of symmetries,i.e.a weakly Noether symmetry for a Lagrange system is presented.The criterion of the weakly Noether symmetry of the system is given and a Noether conserved quantity can be deduced using the symmetry.The weakly Noether symmetry finds more applications than the Noether symmetry.
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A kind of symmetries,i.e.a weakly Noether symmetry for a Lagrange system is presented.The criterion of the weakly Noether symmetry of the system is given and a Noether conserved quantity can be deduced using the symmetry.The weakly Noether symmetry finds more applications than the Noether symmetry.
Key concepts: Noether's theorem, Symmetry (geometry), Homogeneous space, Mathematical physics, Conserved current, Conserved quantity, Physics, Mathematics