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Homework Help: Symmetry of Hamilton

  1. Nov 3, 2008 #1
    1. The problem statement, all variables and given/known data

    I shall consider the Hamilton

    H(q,p)=1/2\sum{p_l^2}+1/2\sum{q_l^2}+\gamma(\sum{q_l^2})^2

    all the sums if from l=1 to l=N. (gamma is bigger or equal to zero) I shall discuss the symmetry/asymmetry plus determine that the form of the qeneral solution is qualitative similar to the form of the general N=2 solution.

    2. Relevant equations




    3. The attempt at a solution

    I am a bit helpless so any advice would be helpfull. I tried to look at the equations of motions ...but i all the time get problems with the last coupled term. SO please help....
    1. The problem statement, all variables and given/known data
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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