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Hamiltonian Mechanics

  1. Mar 12, 2012 #1

    bon

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    1. The problem statement, all variables and given/known data

    Basically, I'm given a Hamiltonian H = H(p,q) and asked to find a new Hamiltonian K = K(Q,P,t) using the generating functions method

    H = 1/2 (p^2 + q^2)

    Generating function f(q,P,t) = qp sec ( t ) - 1/2 (q^2 + P^2) tan ( t )


    So, I have no problem finding the new K, i just find K = 0.

    The question then asks for a physical interpretation of the result.


    2. Relevant equations



    3. The attempt at a solution

    I'm stuck on the physical interpretation. What does it mean if you transform to new coordinates and your new hamiltonian is zero?

    Thanks!
     
  2. jcsd
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