Unformatted text preview: EulerLagrange equations unchanged. [20pts] 3. Use the requirement that the Lagrangian be invariant under a continuous symmetry to deduce the conserved quantity that corresponds to a particular transformation. Show that invariant under (i) translations in space, (ii) translations in time, (iii) spatial rotations implies conservation of (i) momentum, (ii) energy, (iii) angular momentum. [20pts] 1...
View
Full Document
 Spring '09
 mechanics, Mass, Noether's theorem, Aµ Aµ, Lagrangian density

Click to edit the document details