Scattering and inverse scattering for multipoint potentials at high energies
Mathematical Physics
2026-04-15 v1 math.MP
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.
Cite
@article{arxiv.2604.12858,
title = {Scattering and inverse scattering for multipoint potentials at high energies},
author = {P. C. Kuo and R. G. Novikov},
journal= {arXiv preprint arXiv:2604.12858},
year = {2026}
}