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 September 15th, 2017, 05:33 AM #1 Newbie   Joined: Sep 2017 From: Italy Posts: 1 Thanks: 0 Deducing Lagrangian of a system of free particles Dear All, In Landau - Vol.1 (Mechanics) - Chapter 1 - Paragraph 4 there is the passages to obtain Lagrangian of a system of free particles. From the chapter before it was deduced that: L = L(v^2), that is Lagrangian is only function of v^2 Than consider a new reference system with in which velocity of particle is: v' = v + epsilon so v'^2 = v^2 + 2v*eps + eps^2 so L(v'^2) = L(v^2 + 2v*eps + eps^2) Then he said: "Expanding this expression in power of epsilon and neglecting terms above the first order, we obtain:" L(v'^2) = L(v^2) + [partial_d (L) / partial_d (v^2)] * 2 * v * epsilon Please could you kindly illustrate the passages to reach this result? Thank you Vincenzo Last edited by greg1313; September 15th, 2017 at 01:08 PM. Tags deducin, deducing, free, lagrangian, particles, system Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post markosheehan Applied Math 0 December 8th, 2016 08:36 AM markosheehan Applied Math 2 November 20th, 2016 01:58 AM markosheehan Applied Math 3 October 30th, 2016 06:25 AM stringnumargs Algebra 6 June 28th, 2015 03:29 PM JulieK Math Software 0 June 28th, 2014 06:13 PM

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