Berkolaiko, G. (2003) Intermediate wave-function statistics. Physical Review Letters, 94 (13). p. 134103. ISSN 0031-9007
Full text not available in this repository. (Request a copy from the Strathclyde author)Official URL: http://dx.doi.org/10.1103/PhysRevLett.91.134103
Abstract
We calculate statistical properties of the eigenfunctions of two quantum systems that exhibit intermediate spectral statistics: star graphs and Seba billiards. First, we show that these eigenfunctions are not quantum ergodic, and calculate the corresponding limit distribution. Second, we find that they can be strongly scarred, in the case of star graphs by short (unstable) periodic orbits and, in the case of Seba billiards, by certain families of orbits. We construct sequences of states which have such a limit. Our results are illustrated by numerical computations.
| Item type: | Article |
|---|---|
| ID code: | 2118 |
| Keywords: | eigenfunctions, statistics, star graphs, orbits, mathematics, wave-function, Mathematics, Statistics |
| Subjects: | Science > Mathematics Social Sciences > Statistics |
| Department: | Faculty of Science > Mathematics |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 17 Nov 2006 |
| Last modified: | 12 Mar 2012 10:37 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/2118 |
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