Splitting Quantum Graphs
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909102425243648 |
|---|---|
| author | Smith, Nathaniel Sukhtayev, Alim |
| author_facet | Smith, Nathaniel Sukhtayev, Alim |
| contents | We derive a counting formula for the eigenvalues of Schrödinger operators with self-adjoint boundary conditions on quantum star graphs. More specifically, we develop techniques using Evans functions to reduce full quantum graph eigenvalue problems into smaller subgraph eigenvalue problems. These methods provide a simple way to calculate the spectra of operators with localized potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07409 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Splitting Quantum Graphs Smith, Nathaniel Sukhtayev, Alim Spectral Theory 34B45, 47A10 We derive a counting formula for the eigenvalues of Schrödinger operators with self-adjoint boundary conditions on quantum star graphs. More specifically, we develop techniques using Evans functions to reduce full quantum graph eigenvalue problems into smaller subgraph eigenvalue problems. These methods provide a simple way to calculate the spectra of operators with localized potentials. |
| title | Splitting Quantum Graphs |
| topic | Spectral Theory 34B45, 47A10 |
| url | https://arxiv.org/abs/2402.07409 |