Families of line-graphs and their quantization
| dc.creator | Pakonski, Prot | |
| dc.creator | Tanner, Gregor | |
| dc.creator | Zyczkowski, Karol | |
| dc.date | 2001-10-23 | |
| dc.date | 2002-07-15 | |
| dc.date.accessioned | 2026-07-07T05:33:43Z | |
| dc.date.available | 2026-07-07T05:33:43Z | |
| dc.description | Any directed graph G with N vertices and J edges has an associated line-graph L(G) where the J edges form the vertices of L(G). We show that the non-zero eigenvalues of the adjacency matrices are the same for all graphs of such a family L^n(G). We give necessary and sufficient conditions for a line-graph to be quantisable and demonstrate that the spectra of associated quantum propagators follow the predictions of random matrices under very general conditions. Line-graphs may therefore serve as models to study the semiclassical limit (of large matrix size) of a quantum dynamics on graphs with fixed classical behaviour. | |
| dc.description | LaTeX 17 pages, 9 figures included, v2: additional co-author, new chapter with analythical results on quantizable digraphs added | |
| dc.identifier | https://arxiv.org/abs/nlin/0110043 | |
| dc.identifier | http://arxiv.org/abs/nlin/0110043 | |
| dc.identifier | J. Stat. Phys. 111 (2003) 1331 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80103 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Families of line-graphs and their quantization | |
| dc.type | text |