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arXiv · 2604.12858

Scattering and inverse scattering for multipoint potentials at high energies

P. C. Kuo·R. G. Novikov
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Abstract

We consider the Schr\"odinger equation with a multipoint potential of Bethe-Peierls-Thomas-Fermi type. For this singular potential, we develop scattering and inverse scattering at high energies. In particular, in this framework, our results include analogs of the "regular" Born-Faddeev formula for the scattering amplitude and analogs of related "regular" inverse scattering reconstructions at high energies. Related results for scattering solutions at high energies are also presented.

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P. C. Kuo, R. G. Novikov. 2026-04-14. Scattering and inverse scattering for multipoint potentials at high energies. https://arxiv.org/abs/2604.12858

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