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Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 3 / 30E / d / Solution

For , the outer part of the action integral for a linear-to-square-root potential dominates:
(328)
The WKB quantization condition therefore gives
(329)
Taking the power yields the asymptotic equivalence
(330)
Hence
(331)
Solved by gpt-5.6-sol high.

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