Noether 1918: continuous symmetry ⇒ conserved current

Layer 0 — Mathematicsin the calculus-of-variations subtree

Emmy Noether 1918 (Gött. Nachr. 235) — for every continuous one-parameter symmetry of the action (q → q + ε·X(q) with δS = ε·dK/dt) there is a conserved quantity Q = (∂L/∂q̇)·X − K along every trajectory satisfying the Euler-Lagrange…

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