Two comprehensions on Noether symmetry

Hui Bin Wu; Feng Xiang Mei

doi:10.7498/aps.55.3825

Two comprehensions on Noether symmetry

Hui Bin Wu^*
, Feng Xiang Mei

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

This paper presents two ways of comprehending the Noether symmetry for the Lagrange system. One is based on invariance of the Lagrangian, the other is based on invariance of the action. This paper proves that these two comprehensions are different from each other. We give the condition under which the invariance of the Lagrangian can become the invariance of the action, and the condition under which the invariance of the action can become the invariance of the Lagrangian. It is suitable that the Noether symmetry is comprehended as the invariance of the action.

Original language	English
Pages (from-to)	3825-3828
Number of pages	4
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	55
Issue number	8
DOIs	https://doi.org/10.7498/aps.55.3825
Publication status	Published - Aug 2006

Keywords

Invariance of Lagrangian
Invariance of action
Lagrange system
Noether symmetry

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Two comprehensions on Noether symmetry

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Keywords

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