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How to determine what is conserved given a hamilitonian

  1. Oct 9, 2015 #1
    1. The problem statement, all variables and given/known data
    Given the Hamiltonian's determine what quantities are conserved. These are labeled H1 and H2 in the picture.

    2. Relevant equations
    The relevant equations are q'=dH/dp and p'=-dH/dq

    3. The attempt at a solution
    My attempt is below
    upload_2015-10-9_0-25-53.png
    ignore the negative sign for q' in H2
     
    Last edited: Oct 9, 2015
  2. jcsd
  3. Oct 9, 2015 #2
    Well, looks fine. But, in second problem, one of the [itex] \dot{P}_i [/itex] should be positive and so the total momentum variation will be zero.
     
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