On recovering the shape of a quantum tree from the spectrum of the Dirichlet boundary problem
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916104866103296 |
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| author | Boyko, Olga Martynyuk, Olga Pivovarchik, Vyacheslav |
| author_facet | Boyko, Olga Martynyuk, Olga Pivovarchik, Vyacheslav |
| contents | Spectral problems are considered generated by the Sturm-Liouville equation on equilateral trees with the Dirichlet boundary conditions at the pendant vertices and continuity and Kirchhoff's conditions at the interior vertices. It is proved that there are no co-spectral (i.e., having the same spectrum of such problem) among equilateral trees of less or equal 8 vertices. All co-spectral trees of 9 vertices are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_11280 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On recovering the shape of a quantum tree from the spectrum of the Dirichlet boundary problem Boyko, Olga Martynyuk, Olga Pivovarchik, Vyacheslav Mathematical Physics 34A55 Spectral problems are considered generated by the Sturm-Liouville equation on equilateral trees with the Dirichlet boundary conditions at the pendant vertices and continuity and Kirchhoff's conditions at the interior vertices. It is proved that there are no co-spectral (i.e., having the same spectrum of such problem) among equilateral trees of less or equal 8 vertices. All co-spectral trees of 9 vertices are presented. |
| title | On recovering the shape of a quantum tree from the spectrum of the Dirichlet boundary problem |
| topic | Mathematical Physics 34A55 |
| url | https://arxiv.org/abs/2211.11280 |