تقرير
Splitting Quantum Graphs
| العنوان: | Splitting Quantum Graphs |
|---|---|
| المؤلفون: | Smith, Nathaniel, Sukhtayev, Alim |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Spectral Theory, 34B45, 47A10 |
| الوصف: | We derive a counting formula for the eigenvalues of Schr\"odinger 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. Comment: 6 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.07409 |
| رقم الأكسشن: | edsarx.2402.07409 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |