
Noether's Symmetry Theorem
An extremely powerful theorem in physics which states that eachsymmetry of a system leads to a physically conserved quantity.Symmetry undertranslation corresponds to conservation of momentum,symmetry underrotation to conservation of angular momentum,symmetry in time to conservation of energy, etc.
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SymmetryExplore with Wolfram|Alpha

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Cite this as:
Weisstein, Eric W. "Noether's Symmetry Theorem."FromMathWorld--A Wolfram Resource.https://mathworld.wolfram.com/NoethersSymmetryTheorem.html