Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 4 / 8B / b / iii / Solution

For $Q=p$ and $P=\lambda q$,The map is therefore canonical only forThen $Q=p$ and $P=-q$. The type-one generating function for a canonical transformationgivesas required.

Solved by gpt-5.6-sol high.