An inverse problem for the matrix Schrodinger operator on the half-line with a general boundary condition
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916476895625216 |
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| author | Xu, Xiao-Chuan Pan, Yi-Jun |
| author_facet | Xu, Xiao-Chuan Pan, Yi-Jun |
| contents | In this work, we study the inverse spectral problem, using the Weyl matrix as the input data, for the matrix Schrodinger operator on the half-line with the boundary condition being the form of the most general self-adjoint. We prove the uniqueness theorem, and derive the main equation and prove its solvability, which yields a theoretical reconstruction algorithm of the inverse problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06779 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An inverse problem for the matrix Schrodinger operator on the half-line with a general boundary condition Xu, Xiao-Chuan Pan, Yi-Jun Spectral Theory Mathematical Physics 34A55, 34L25, 34L40 In this work, we study the inverse spectral problem, using the Weyl matrix as the input data, for the matrix Schrodinger operator on the half-line with the boundary condition being the form of the most general self-adjoint. We prove the uniqueness theorem, and derive the main equation and prove its solvability, which yields a theoretical reconstruction algorithm of the inverse problem. |
| title | An inverse problem for the matrix Schrodinger operator on the half-line with a general boundary condition |
| topic | Spectral Theory Mathematical Physics 34A55, 34L25, 34L40 |
| url | https://arxiv.org/abs/2411.06779 |