Canonical and conjugate momentum

  1. what is the difference between canonical and conjugate momentum.. ? what is its physical significant.. I was reading classical mechanics by Goldstein but could understood this terms
     
  2. jcsd
  3. Bill_K

    Bill_K 4,160
    Science Advisor

    Exactly the same thing. You might use the term conjugate momentum when you're referring to the canonical momentum which is conjugate to a particular coordinate.
     
  4. Hi Bill_k,

    Thanks for reply but what that means ? "conjugate to a particular coordinate"... physical intrepretation
     
  5. tom.stoer

    tom.stoer 5,489
    Science Advisor

    The canonical conjugate momentum p is derived via a derivative of the action w.r.t. the time derivative of a generalized coordinate q. Then {q,p}=1. The physical interpretation of p depends on the interpretation of q.
     
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