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Showing infinitesimal transformation is canonical
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[QUOTE="fzero, post: 5158894, member: 274413"] Sorry about that, you're totally correct that we have to show that the Poisson bracket computed wrt to the old variables vanishes. So the missing ingredient is then that the old variables are canonical and satisfy $$ \frac{\partial q_i}{\partial q_j} = \delta_i^j,~~~~\frac{\partial p_i}{\partial p_j} = \delta_i^j, ~~~~\frac{\partial q_i}{\partial p_j} = 0.$$ [/QUOTE]
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Showing infinitesimal transformation is canonical
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