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Hamiltonian mechanics: canonical transformation

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abidkts

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canonical transformation

Dear All

I do not have an in depth study of Physics so my question may be quite foolish. I am facing some problem in canonical trasformation. I need to know if the following transformation is canonical or not?

\[ p = \bar{p} + P_x^TP_x \bar{p}\]
\[ q = q \]

where \[ P_x\] is solution to Hamiltonian-Jacobi equation.
I will be grateful for the help.
 
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