1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Lagrangian and equation of motion

  1. Dec 13, 2006 #1
    In general how do you demonstrate that a given Lagrangian equation provides the correct equation of motion?
  2. jcsd
  3. Dec 14, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper

    By computing the equations of motion ? :rolleyes:

  4. Dec 14, 2006 #3


    User Avatar
    Staff Emeritus
    Science Advisor

    The whole point of using the Lagrangian is that any physically possible motion must make the Lagrangian (Kinetic energy minus potential energy) an extremum. Apply "calculus of variations" (essentially the Euler-Lagrange equation) to the Lagrangian to derive the equations of motion.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook