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For a non-relativistic scale invariant system in two spatial dimensions, the quantum scattering amplitude f (θ) is given as a dispersion relation, with a simple closed form for Im f (θ) as well as the integrated cross-section σ ∝ Im f (θ = 0).For fixed θ = 0, the → 0 classical limit is straightforward to obtain.
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Curtright et al. (2024) studied this question.
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