Form factor expansion for large graphs: a diagrammatic approach
| dc.creator | Berkolaiko, Gregory | |
| dc.date | 2006-04-11 | |
| dc.date.accessioned | 2026-07-07T07:11:24Z | |
| dc.date.available | 2026-07-07T07:11:24Z | |
| dc.description | The form factor of a quantum graph is a function measuring correlations within the spectrum of the graph. It can be expressed as a double sum over the periodic orbits on the graph. We propose a scheme which allows one to evaluate the periodic orbit sum for a special family of graphs and thus to recover the expression for the form factor predicted by the Random Matrix Theory. The scheme, although producing the expected answer, undercounts orbits of a certain structure, raising doubts about an analogous summation recently proposed for quantum billiards. | |
| dc.description | 15 pages, 5 figures, to appear in "Proceedings of Joint Summer Research Conference on Quantum Graphs and Their Applications", AMS Contemporary Mathematics (G.Berkoaliko, R.Carlson, S.Fulling, P.Kuchment, eds) | |
| dc.identifier | https://arxiv.org/abs/nlin/0604025 | |
| dc.identifier | http://arxiv.org/abs/nlin/0604025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111742 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Form factor expansion for large graphs: a diagrammatic approach | |
| dc.type | text |