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Rotation transformation by poisson brackets

  1. Jan 3, 2016 #1
    1. The problem statement, all variables and given/known data
    Can anybody suggest hints on how to show that x'=xcosΘ-ysinΘ, y'=xsinΘ+ycosΘ by using the infinite string of poisson brackets?

    2. Relevant equations
    ω→ω+a{ω,p}+a^2/2!{{ω,p},p}+...

    3. The attempt at a solution
    Sorry, I just can’t think of any way, substituting doesn’t work.
     
  2. jcsd
  3. Jan 3, 2016 #2

    TSny

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    Homework Helper
    Gold Member

    Please define all the symbols here.
    Rules of the forum require showing work before receiving help. Indicate the type of substitution you tried.
     
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