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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.08575 |
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| _version_ | 1866917199424258048 |
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| author | Mikhaylov, A. S. Mikhaylov, V. S. |
| author_facet | Mikhaylov, A. S. Mikhaylov, V. S. |
| contents | We derive a representation formula for the Weyl solution to the Schrödinger operator on the semi-axis for certain classes of potentials. Our approach is based on relations with the initial-boundary value problem for the wave equation with the same potential on the half-line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08575 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dynamic representation of the Weyl solution for the Schrödinger operator on the semi-axis Mikhaylov, A. S. Mikhaylov, V. S. Analysis of PDEs We derive a representation formula for the Weyl solution to the Schrödinger operator on the semi-axis for certain classes of potentials. Our approach is based on relations with the initial-boundary value problem for the wave equation with the same potential on the half-line. |
| title | Dynamic representation of the Weyl solution for the Schrödinger operator on the semi-axis |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.08575 |