Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929405120479232 |
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| author | Larsen, Martin Dam |
| author_facet | Larsen, Martin Dam |
| contents | We show Rellich's theorem, the limiting absorption principle, and a Sommerfeld uniqueness result for a wide class of one-body Schrödinger operators with long-range potentials, extending and refining previously known results. Our general method is based on elementary commutator estimates, largely following the scheme developed recently by Ito and Skibsted. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_03291 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials Larsen, Martin Dam Mathematical Physics We show Rellich's theorem, the limiting absorption principle, and a Sommerfeld uniqueness result for a wide class of one-body Schrödinger operators with long-range potentials, extending and refining previously known results. Our general method is based on elementary commutator estimates, largely following the scheme developed recently by Ito and Skibsted. |
| title | Limiting absorption principle and radiation conditions for Schrödinger operators with long-range potentials |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2209.03291 |