The semiclassical limit of chaotic eigenfunctions
| dc.creator | Vergini, Eduardo G. | |
| dc.date | 2002-04-30 | |
| dc.date.accessioned | 2026-07-07T05:34:04Z | |
| dc.date.available | 2026-07-07T05:34:04Z | |
| dc.description | A generic chaotic eigenfunction has a non-universal contribution consisting of scars of short periodic orbits. This contribution, which can not be explained in terms of random universal waves, survives the semiclassical limit (when $\hbar$ goes to zero). In this limit, the sum of scarred intensities is a simple function of $η\equiv \sqrt{π/2} (f-1) h^{-1}_T (\sum λ_i^2)^{1/2} $, with $f$ the degrees of freedom, $h_T$ the topological entropy and $\{λ_i\}$ the set of positive Lyapunov exponents. Moreover, the fluctuations of this representation go to zero as $1/|\ln \hbar|$. For this reasson, we will be able to provide a detailed description of a generic chaotic eigenfunction in the semiclassical limit. | |
| dc.description | 4 pages, 1 poscript figure | |
| dc.identifier | https://arxiv.org/abs/nlin/0205001 | |
| dc.identifier | http://arxiv.org/abs/nlin/0205001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80227 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | The semiclassical limit of chaotic eigenfunctions | |
| dc.type | text |