Recovering the shape of a quantum tree by scattering data
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912418649604096 |
|---|---|
| author | Boyko, Olga Latushkin, Yuri Pivovarchik, Vyacheslav |
| author_facet | Boyko, Olga Latushkin, Yuri Pivovarchik, Vyacheslav |
| contents | We consider a scattering problem generated by the Sturm-Liouville equation on a tree which consists of an equilateral compact subtree and a half-infinite lead attached to its root. We assume that the potential on the lead is identically zero while the potentials on the finite edges are real. We show how to find the shape of the tree using the S-function of the scattering problem and the eigenvalues of the operators associated with the compact tree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01189 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recovering the shape of a quantum tree by scattering data Boyko, Olga Latushkin, Yuri Pivovarchik, Vyacheslav Functional Analysis Mathematical Physics Spectral Theory 34B45, 34B240, 34L20 We consider a scattering problem generated by the Sturm-Liouville equation on a tree which consists of an equilateral compact subtree and a half-infinite lead attached to its root. We assume that the potential on the lead is identically zero while the potentials on the finite edges are real. We show how to find the shape of the tree using the S-function of the scattering problem and the eigenvalues of the operators associated with the compact tree. |
| title | Recovering the shape of a quantum tree by scattering data |
| topic | Functional Analysis Mathematical Physics Spectral Theory 34B45, 34B240, 34L20 |
| url | https://arxiv.org/abs/2504.01189 |