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Question About the Hamiltonian

  1. Oct 6, 2014 #1
    If the hamiltonian is defined as ##\mathcal{H}\equiv \sum _{ i }^{ all }{ p_{ i }\dot { q } _{ i } } - \mathcal{L} ##, how is it considered a function of ##p## and ##q## instead of ##p## and ##\dot{q}##?

    Chris
     
  2. jcsd
  3. Oct 6, 2014 #2

    Matterwave

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    Science Advisor
    Gold Member

    You should make a change of variables at the end to find ##\dot{q}## in terms of ##p,q##.
     
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