ContinuousSymmetriesandConservationLaws. Noether’sTheorem
While the conservation law of energy follows from the symmetry of the action under time translations, conservation laws ofmomentum and angular momentum are found if the action is invariant under translations and rotations. Consider a Lagrangian of a point particle in a euclidean space L= L(xi(t),x˙i(t),t). (8.35)
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