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Noether's Theorem

★★★★★Graduate+

📖Definition

Noether's Theorem states that every continuous symmetry of a physical system corresponds to a conserved quantity.

Time translation symmetry ↔ Energy conservation

Time symmetry and energy

Space translation symmetry ↔ Momentum conservation

Space symmetry and momentum

Rotational symmetry ↔ Angular momentum conservation

Rotation symmetry and angular momentum

예제 1

Explain energy conservation via Noether's theorem.

Discovered by: Emmy Noether (1915)

Noether discovered this while working on general relativity; one of physics' most important theorems.

Origin of conservation laws

Gauge symmetries, Standard Model

Invariant theory

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