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Small-tau expansion for the form factor of glued quantum star graphs.
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CHABANOL, Marie-Line | |
| dc.date.accessioned | 2024-04-04T02:53:56Z | |
| dc.date.available | 2024-04-04T02:53:56Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192226 | |
| dc.description.abstractEn | We compute the small-tau expansion up to the third order for the form factor of two glued quantum star graphs with Neumann boundary conditions, by taking into account only the most backscattering orbits. We thus show that the glueing has no effect if the number of glueing edges is negligible compared to the number of edges of the graph, whereas it has an effect on the $\tau^2$ term when the numbers of glueing and non glueing edges are of the same order. | |
| dc.description.sponsorship | Aspects arithmétiques des matrices aléatoires et du chaos quantique - ANR-05-JCJC-0043 | |
| dc.language.iso | en | |
| dc.title.en | Small-tau expansion for the form factor of glued quantum star graphs. | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.subject.hal | Science non linéaire [physics]/Dynamique Chaotique [nlin.CD] | |
| dc.identifier.arxiv | 0804.1478 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00271445 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00271445v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CHABANOL,%20Marie-Line&rft.genre=preprint |
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