Noether's theorem: Difference between revisions

Revision as of 10:56, 27 October 2003

Revision as of 11:31, 27 October 2003

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* 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]];

* invariance with respect to [[time]] gives the well known [[law of conservation of energy]], et cetera.

When it comes to [[quantum field theory]], the invariance with respect to general [[gauge transformation]]s gives the law of conservation of [[electric charge]] and so on. Thus, the result is a very important contribution to physics in general, as it helps to provide powerful insights into any general theory in physics, by just analyzing the various transformations that would make the form of the laws involved, invariant.