Dynamic representation of the Weyl solution for the Schrödinger operator on the semi-axis
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917199424258048 |
|---|---|
| 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 |