Dynamical versus variational symmetries: understanding Noether's first theorem

Brown, Harvey R. and Holland, Peter (2004) Dynamical versus variational symmetries: understanding Noether's first theorem.

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Abstract

It is argued that awareness of the distinction between dynamical and variational symmetries is crucial to understanding the significance of Noether's 1918 work. Specific attention is paid, by way of a number of striking examples, to Noether's first theorem, which establishes a correlation between dynamical symmetries and conservation principles.

Keywords:symmetry, conservation law, Noether's theorem
Subjects:Specific Sciences: Physics: Symmetries/Invariances
ID Code:2914
Deposited By:Brown, Harvey R
Deposited On:15 September 2006
Additional Information:This paper was published in Molecular Physics, Vol. 102, No. 11-12, 1133-1139 (2004).