On the wonderfulness of Noether's theorems, 100 years later, and Routh reduction
History and Philosophy of Physics
2018-04-12 v3 Mathematical Physics
History and Overview
math.MP
Classical Physics
Abstract
This paper is written in honour of the centenary of Emmy Amalie Noether's famous article entitled Invariante Variationsprobleme. It firstly aims to give an exposition of what we believe to be the most significant and elegant issues regarding her theorems, through the lens of classical mechanics. Despite the limitation to this field, we try to illustrate the key ideas of her work in a rather complete and pedagogical manner which, we hope, presents some original aspects. The notion of symmetry coming naturally with the idea of simplification, the last part is devoted to the interplay between Noether point symmetries and the reduction procedure introduced by Edward John Routh in 1877.
Cite
@article{arxiv.1804.01714,
title = {On the wonderfulness of Noether's theorems, 100 years later, and Routh reduction},
author = {Raphaël Leone},
journal= {arXiv preprint arXiv:1804.01714},
year = {2018}
}