Dynamical versus variational symmetries: understanding Noether's first theorem |
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Authors: | Harvey R Brown Peter Holland? |
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Affiliation: | 1. Faculty of Philosophy , University of Oxford , 10 Merton Street, Oxford OX1 4JJ , UK;2. Green College , Oxford OX2 6HG , UK |
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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. 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. |
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