Talk:Canonical transformation/Archive 1

Miscellaneous edits
Hi, I moved the advanced mathematical description to the end because it falls outside the stated scope of the article, and since there already is a symplectomorphism article. I also reverted the superscripts on the generalized coordinates because I'm afraid that many beginning students won't appreciate their significance and might confuse them with potentiation of a coordinate. For example, how will we represent the third coordinate raised to the 2nd power, maybe $$\left[q^{(3)}\right]^{2}$$? That seems too complicated for beginners, don't you agree? WillowW 22:06, 11 June 2006 (UTC)

Why are Q,P,q,p all independent?
can you explicitly describe why Q,P,q,p are all independent. Q,P are obtained from q,p.. Q=Q(q,p) and P=P(q,p). so i think Q ,P should be dependent variable. — Preceding unsigned comment added by 203.200.95.130 (talk) 16:29, 17 November 2007 (UTC)

Canonical conditions
Excelident (talk) 01:37, 16 August 2011 (UTC) About the derivation of the conditions that the transformed variables must satisfy in order to be canonical: I am not sure how one can obtain $$n^2$$ relations for partial derivatives involving the transformed and original $$q_i, p_i$$ variables from just $$n$$ equations. — Preceding unsigned comment added by Excelident (talk • contribs) 01:37, 16 August 2011 (UTC)