Rotation transformation by poisson brackets

shinobi20
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Homework Statement


Can anybody suggest hints on how to show that x'=xcosΘ-ysinΘ, y'=xsinΘ+ycosΘ by using the infinite string of poisson brackets?

Homework Equations


ω→ω+a{ω,p}+a^2/2!{{ω,p},p}+...

The Attempt at a Solution


Sorry, I just can’t think of any way, substituting doesn’t work.
 
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shinobi20 said:

Homework Equations


ω→ω+a{ω,p}+a^2/2!{{ω,p},p}+...
Please define all the symbols here.
3. The Attempt at a Solution
Sorry, I just can’t think of any way, substituting doesn’t work.
Rules of the forum require showing work before receiving help. Indicate the type of substitution you tried.
 
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