The Leading Off-Diagonal Correction to the Form Factor of Large Graphs

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dc.creatorBerkolaiko, Gregory
dc.creatorSchanz, Holger
dc.creatorWhitney, Robert S.
dc.date2001-07-24
dc.date2002-02-13
dc.date.accessioned2026-07-07T06:27:36Z
dc.date.available2026-07-07T06:27:36Z
dc.descriptionUsing periodic-orbit theory beyond the diagonal approximation we investigate the form factor, $K(τ)$, of a generic quantum graph with mixing classical dynamics and time-reversal symmetry. We calculate the contribution from pairs of self-intersecting orbits that differ from each other only in the orientation of a single loop. In the limit of large graphs, these pairs produce a contribution $-2τ^2$ to the form factor which agrees with random-matrix theory.
dc.description5 pages (2 figs). Version to appear in PRL [RevTeX4] - with a bonus appendix for nlin.CD users
dc.identifierhttps://arxiv.org/abs/nlin/0107056
dc.identifierhttp://arxiv.org/abs/nlin/0107056
dc.identifierPhys. Rev. Lett. 88 (2002) 104101
dc.identifierdoi:10.1103/PhysRevLett.88.104101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97460
dc.subjectChaotic Dynamics
dc.subjectMesoscale and Nanoscale Physics
dc.titleThe Leading Off-Diagonal Correction to the Form Factor of Large Graphs
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