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Lagrangian Hamiltonian

  1. Jul 4, 2007 #1
    for a Lagrangian of the form [tex] L(q,\dot q , t) [/tex] we can always construct (except perhaps some counterexamples) the Hamiltonian, but what happens with lagrangians of the form

    [tex] L ( U , U_{i}, i ) [/tex] where i=x,y,z (3-D lagrangian) then i know that the momenta are defined by.

    [tex] \Pi _{U}= \frac{\partial L}{ \partial \dot U} [/tex]

    where dot is differentiantion respect to time, but what happens with the terms U_x U_y and U_z can be defined in terms of certain conjugate momenta
     
  2. jcsd
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