s11f1014

s11f1014 - 1 2 m ± d~ r d t 2-U 0 0 Assume U = αU After...

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Solution for assignment 14: Problems 1 and 2, Landau-Lifshitz p.24. 1. The Lagrangians are L = 1 2 m ± d~ r d t ! 2 - U , L 0 = 1 2 m 0 ± d~ r d t 0 ! 2 - U 0 After substituting t 0 = t q m 0 /m in L 0 the Lagrangians agree and the same paths are obtained for t 0 /t = q m 0 /m . 2. The Lagrangians are L = 1 2 m ± d~ r d t ! 2 - U , L 0 =
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Unformatted text preview: 1 2 m ± d~ r d t ! 2-U 0 0 Assume U = αU . After substituting t = t/ √ α we obtain L = α L . Therefore the same paths are obtained for t /t = α-1 / 2 = q U/U . 1...
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This note was uploaded on 12/11/2011 for the course PHY 4936 taught by Professor Berg during the Fall '11 term at FSU.

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