Optimization of quantum graph eigenvalues with preferred orientation vertex conditions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915195171897344 |
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| author | Exner, Pavel Rohleder, Jonathan |
| author_facet | Exner, Pavel Rohleder, Jonathan |
| contents | We discuss Laplacian spectrum on a finite metric graph with vertex couplings violating the time-reversal invariance. For the class of star graphs we determine, under the condition of a fixed total edge length, the configurations for which the ground state eigenvalue is maximized. Furthermore, for general finite metric graphs we provide upper bounds for all eigenvalues. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21820 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimization of quantum graph eigenvalues with preferred orientation vertex conditions Exner, Pavel Rohleder, Jonathan Mathematical Physics Spectral Theory We discuss Laplacian spectrum on a finite metric graph with vertex couplings violating the time-reversal invariance. For the class of star graphs we determine, under the condition of a fixed total edge length, the configurations for which the ground state eigenvalue is maximized. Furthermore, for general finite metric graphs we provide upper bounds for all eigenvalues. |
| title | Optimization of quantum graph eigenvalues with preferred orientation vertex conditions |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2410.21820 |