Universal spectral form factor for chaotic dynamics
| dc.creator | Heusler, Stefan | |
| dc.creator | Müller, Sebastian | |
| dc.creator | Braun, Petr | |
| dc.creator | Haake, Fritz | |
| dc.date | 2003-09-05 | |
| dc.date.accessioned | 2026-07-07T05:34:56Z | |
| dc.date.available | 2026-07-07T05:34:56Z | |
| dc.description | We consider the semiclassical limit of the spectral form factor $K(τ)$ of fully chaotic dynamics. Starting from the Gutzwiller type double sum over classical periodic orbits we set out to recover the universal behavior predicted by random-matrix theory, both for dynamics with and without time reversal invariance. For times smaller than half the Heisenberg time $T_H\propto \hbar^{-f+1}$, we extend the previously known $τ$-expansion to include the cubic term. Beyond confirming random-matrix behavior of individual spectra, the virtue of that extension is that the ``diagrammatic rules'' come in sight which determine the families of orbit pairs responsible for all orders of the $τ$-expansion. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/nlin/0309022 | |
| dc.identifier | http://arxiv.org/abs/nlin/0309022 | |
| dc.identifier | J. Phys. A: Math. Gen. 37, L31 (2004) | |
| dc.identifier | doi:10.1088/0305-4470/37/3/L02 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80554 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Universal spectral form factor for chaotic dynamics | |
| dc.type | text |