An extremely powerful theorem in physics which states that each symmetry of a system leads to a physically conserved quantity. Symmetry under translation corresponds to conservation of momentum, symmetry under rotation to conservation of angular momentum, symmetry in time to conservation of energy, etc.

# Noether's Symmetry Theorem

## See also

Symmetry## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Noether's Symmetry Theorem."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/NoethersSymmetryTheorem.html