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Analytical Classical Dynamics: An intermediate level course

  1. Nov 5, 2008 #1
    Moderation note: In reference to http://farside.ph.utexas.edu/teaching/336k/lectures.pdf

    Lagrangian(L) and Hamiltonian(H),
    Dear Greg I am studying the L and H.

    If kinetic energy(K) and potential(U) are given it seems that L=K-U.
    Hamilton defines (p_i, dot q_i being components of momentum, resp. velocity in i'th direction): H=sum p_i*dot q_i - L and it appears that for a conservative situation the Hamiltonian becomes H=K+U. With conservative one means usually U is a function of coordinates only.

    Do you think that this system would work for a mass-velocity relation? So a momentum which a changeble mass as a function of velocity v=Sqrt(sum (dot q_i)^2)?
    greetings.
     
    Last edited by a moderator: Nov 5, 2008
  2. jcsd
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