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QUESTION
Prove that the transformation Q1 = q12 Q2 = q2 sec p2 p cos p2 - 2q2 P= 1 P2 = sin p2 - 2q1 1 2q1 cos p2 is canonical, by any method you choose .
Prove that the transformation Q1 = q12 Q2 = q2 sec p2 p cos p2 - 2q2 P= 1 P2 = sin p2 - 2q1 1 2q1 cos p2 is canonical, by any method you choose . Find a suitable generating function that will lead to this transformation.
