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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...
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This document was uploaded on 10/20/2011.
 Spring '09
 mechanics, Mass

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