2008•Communications in Theoretical PhysicsOpen access

Weak Noether Symmetry and non-Noether Conserved Quantities for General Holonomic Systems

Xie Jia-Fang, Mei Feng-Xiang, Gang Tie-Qiang

Abstract

A new kind of weak Noether symmetry for a general holonomic system is defined in such a way that the methods to construct Hojman conserved quantity and new-type conserved quantity are given. It turns out that we introduce a new approach to look for the conserved laws. Two examples are presented.

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Key concepts: Noether's theorem, Conserved quantity, Holonomic, Symmetry (geometry), Conserved current, Conservation law, Mathematical physics, Physics