Noether's Theorem

Natural & Formal Sciences Dictionary
Definition
A formal result that associates each continuous differentiable symmetry of an action functional in a variational physical system with a corresponding conserved quantity.

Noether's Theorem

- Natural & Formal Sciences -
Mathematics & Logic Dictionary
Definition
A theorem linking continuous symmetries of an action (variational problem) to conserved quantities of the resulting Euler–Lagrange equations: each differentiable symmetry corresponds to a conserved current or constant of motion.