Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 4 / 8B / b / iii / Solution Created 2026-09-24 Updated 2026-09-25
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For and ,
(1)
The map is therefore canonical only for
(2)
Then and . The type-one generating function for a canonical transformation
(3)
gives
(4)
as required.
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