Vertex coupling interpolation in quantum chain graphs
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913264831561728 |
|---|---|
| author | Exner, Pavel Pekař, Jan |
| author_facet | Exner, Pavel Pekař, Jan |
| contents | We analyze band spectrum of the periodic quantum graph in the form of a chain of rings connected by line segments with the vertex coupling which violates the time reversal invariance, interpolating between the $δ$ coupling and the one determined by a simple circulant matrix. We find that flat bands are generically absent and that the negative spectrum is nonempty even for interpolation with a non-attractive $δ$ coupling; we also determine the high-energy asymptotic behavior of the bands. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vertex coupling interpolation in quantum chain graphs Exner, Pavel Pekař, Jan Mathematical Physics Spectral Theory Quantum Physics 81Q35, 35J10 We analyze band spectrum of the periodic quantum graph in the form of a chain of rings connected by line segments with the vertex coupling which violates the time reversal invariance, interpolating between the $δ$ coupling and the one determined by a simple circulant matrix. We find that flat bands are generically absent and that the negative spectrum is nonempty even for interpolation with a non-attractive $δ$ coupling; we also determine the high-energy asymptotic behavior of the bands. |
| title | Vertex coupling interpolation in quantum chain graphs |
| topic | Mathematical Physics Spectral Theory Quantum Physics 81Q35, 35J10 |
| url | https://arxiv.org/abs/2403.09457 |