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Finding canonical transformation

  1. Nov 29, 2015 #1
    1. The problem statement, all variables and given/known data
    If in a system with i degrees of freedom the $$Q_i$$ are given what is the best way to proceed for finding the $$P_i$$ so that we have an overall canonical transformation. say for a two degree freedom system we have $$Q_1=q_1^2 $$ and $$ Q_2=q_1+q_2$$

    2. Relevant equations
    Using poisson brackets
    3. The attempt at a solution
    I think using the following would be the correct way to proceed:
    [\itex][Q_i,Q_j]_{qp}=0[{P_1,P_2]_{qp}=0, [Q_i,P_j]=\delta _{ij} [\itex]
    Am I right?
     
  2. jcsd
  3. Dec 5, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
  4. Dec 5, 2015 #3
    I actually couldn't figure out how to edit the question and insert more details into it so I just created another thread at: "https://www.physicsforums.com/threa...n-two-degrees-of-freedom.846585/#post-5309162" and I included my attempt at solution there (I have actually solved the problem there). Thank you.
     
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