Noether's theorem: Difference between revisions

Revision as of 10:47, 27 October 2003

Revision as of 10:53, 27 October 2003

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The formal statement of the theorem derives an expression for the physical quantity that is conserved (and hence also defines it), from the condition of invariance alone. For example:

* the invariance of physical systems with respect to translation (when simply stated, it is just that the laws of physics don't vary with ___location in space) translates into the law of conservation of [[linear momentum]];

* invariance with respect to rotation gives law of conservation of [[angular momentum]];