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arXiv · 1903.02743

Semiclassical Estimates for Scattering on the Real Line

Kiril Datchev·Jacob Shapiro
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Abstract

We prove explicit semiclassical resolvent estimates for an integrable potential on the real line. The proof is a comparatively easy case of the spherical energies method, which has been used to prove similar theorems in higher dimensions and in more complicated geometric situations. The novelty in our results lies in the weakness of the assumptions on the potential.

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Kiril Datchev, Jacob Shapiro. 2019-03-07. Semiclassical Estimates for Scattering on the Real Line. https://doi.org/10.1007/s00220-019-03587-1

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