Scattering and inverse scattering for multipoint potentials at high energies
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915937048854528 |
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| author | Kuo, P. C. Novikov, R. G. |
| author_facet | Kuo, P. C. Novikov, R. G. |
| contents | We consider the Schrödinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12858 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scattering and inverse scattering for multipoint potentials at high energies Kuo, P. C. Novikov, R. G. Mathematical Physics 35J10, 35R30 We consider the Schrödinger 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. |
| title | Scattering and inverse scattering for multipoint potentials at high energies |
| topic | Mathematical Physics 35J10, 35R30 |
| url | https://arxiv.org/abs/2604.12858 |