Scattering matrices for perturbations of Laplace operator by infinite sums of zero-range potentials
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908317184425984 |
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| author | Vadym, Adamyan |
| author_facet | Vadym, Adamyan |
| contents | This paper analyzes the scattering matrix for two unbounded self-adjoint operators: the standard Laplace operator in three-dimensional space and a second operator that differs from the first by an infinite sum of zero-range potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09594 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scattering matrices for perturbations of Laplace operator by infinite sums of zero-range potentials Vadym, Adamyan Mathematical Physics Primary 99Z99, Secondary 00A00 This paper analyzes the scattering matrix for two unbounded self-adjoint operators: the standard Laplace operator in three-dimensional space and a second operator that differs from the first by an infinite sum of zero-range potentials. |
| title | Scattering matrices for perturbations of Laplace operator by infinite sums of zero-range potentials |
| topic | Mathematical Physics Primary 99Z99, Secondary 00A00 |
| url | https://arxiv.org/abs/2504.09594 |