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How to go from the configuration space to the phase space?

  1. Aug 18, 2011 #1
    How can we go from the configuration space of the system to the phase space when velocity can be expressed in terms of momenta?
    Last edited: Aug 18, 2011
  2. jcsd
  3. Aug 18, 2011 #2
    By a Legrendre transformation. Suppose [itex]f(q, \dot{q})[/itex] is a function of configuration space variable, then there is a corresponding function in phase space is:[itex]g(q, p) = \dot{q}(p) p - f(q, \dot{q}(p))[/itex].
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