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.

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Harvey Brown
Oxford University

Citations of this work

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Isolated systems and their symmetries, part II: Local and global symmetries of field theories.David Wallace - 2022 - Studies in History and Philosophy of Science Part A 92 (C):249-259.
Dimensional explanations.Marc Lange - 2009 - Noûs 43 (4):742-775.

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References found in this work

Tracking down gauge: An ode to the constrained Hamiltonian formalism.John Earman - 2003 - In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press. pp. 140--62.
Time-dependent symmetries: the link between gauge symmetries and indeterminism.David Wallace - 2002 - In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press. pp. 163--173.
Symmetries and Noether's theorems.Katherine Bracing & Harvey R. Brown - 2003 - In Katherine A. Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press. pp. 89.

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