Dynamical versus variational symmetries: understanding Noether's first theorem

@article{Brown2004DynamicalVV,
title={Dynamical versus variational symmetries: understanding Noether's first theorem},
author={H. Brown and P. Holland},
journal={Molecular Physics},
year={2004},
volume={102},
pages={1133 - 1139}
}

It is argued that awareness of the distinction between dynamical and variational symmetries is crucial to understanding the significance of Noether's 1918 work. Special 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.