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How do I verify using Poisson brackets that a set of variables are canonically conjugate? It's for a homework problem but I'm interested in a general approach/reference if possible. We are using Goldstein's Classical Mechanics but I have been unable to locate any passages about this in the book so I turn to you. :-)

Best regards,

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  • $\begingroup$ "Hidden" near the end of the section on Poisson brackets in that book is a calculation of the Poisson bracket between two conjugate variables. The result is 1. So, compute the POisson bracket, and if it's equal to 1, then the variables are canonical conjugates. $\endgroup$
    – march
    Commented Oct 27, 2021 at 16:24
  • $\begingroup$ Thank you so much :) $\endgroup$
    – basilikum
    Commented Oct 29, 2021 at 15:19

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