Abstract
For a Schrödinger operator H=−Δ+V in L2(ℝ3 with a dilation-analytic potential V decaying as r−2−ε at infinity we prove that a scattering solution exp(-itH)f generically decays as t−3/2 for t→∞
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Jensen, A. Local decay in time of solutions to Schrödinger's equation with a dilation-analytic interaction. Manuscripta Math 25, 61–77 (1978). https://doi.org/10.1007/BF01170357
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DOI: https://doi.org/10.1007/BF01170357