One can prove this theorem starting from the principle that a free particle will move along the path that minimizes the integral of the Lagrangian with respect to local variations.
One can prove this theorem starting from the principle that a free particle will move along the path that minimizes the integral of the Lagrangian with respect to local variations. When a system is invariant under some coordinate translation, one can use this theorem to show that the corresponding conjugate momentum must be conserved. This idea is fundamental to quantum field theory, although more generally, this theorem posits that for every continuous symmetry of a physical system, there is a corresponding conserved current. FTP, identify this theorem, proved by a female 20th century physicist.
One can prove this theorem starting from the principle that a free particle will move along the path that minimizes the integral of the Lagrangian with respect to local variations.
{Noether’s} theorem