Symmetry and conservation: Inverse Noether’s theorem and general formalism

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Abstract

The previously developed ‘continuous temporal development and Noether’s theorem’ approach to the association of symmetries and conservations of the laws of nature, part of the foundation of any (classical or quantum) Lagrangian theory, is generalised significantly. Within this framework a strong result is obtained for the inverse Noether’s theorem, associating symmetries with given conservations. A general symmetry-conservation formalism is proposed, into which both the previously developed ‘linear temporal development and conserved eigenheit’ approach, part of the foundation of any quantum theory and also applicable to certain classical ones, and the ‘continuous temporal…’ approach, as different as they are, fit nicely.

Original languageEnglish
Pages (from-to)803-813
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume13
Issue number3
DOIs
StatePublished - 1 Mar 1980

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