| Numéro |
J. Phys. I France
Volume 6, Numéro 4, April 1996
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|---|---|---|
| Page(s) | 455 - 468 | |
| DOI | https://doi.org/10.1051/jp1:1996224 | |
DOI: 10.1051/jp1:1996224
J. Phys. I France 6 (1996) 455-468
1 Universitá di Milano, sede di Como, via Lucini 3, 22100 Como, Italy
2 Budker Institute of Nuclear Physics, Novosibirsk 630090, Russia
3 Dipartimento di Fisica and INFN, Via Celoria 16, 20133 Milano, Italy
4 Uniwersytet Jagiellonski, Instytut Fizyki M. Smoluchowskiego, ul. Reymonta 4, 30-059 Kraków, Poland
(Received 5 October 1995, accepted 5 January 1996)
© Les Editions de Physique 1996
J. Phys. I France 6 (1996) 455-468
Periodic and Non-Periodic Band Random Matrices: Structure of Eigenstates
Felix M. Izrailev1, 2, Luca Molinari3 and Karol Zyczkowski41 Universitá di Milano, sede di Como, via Lucini 3, 22100 Como, Italy
2 Budker Institute of Nuclear Physics, Novosibirsk 630090, Russia
3 Dipartimento di Fisica and INFN, Via Celoria 16, 20133 Milano, Italy
4 Uniwersytet Jagiellonski, Instytut Fizyki M. Smoluchowskiego, ul. Reymonta 4, 30-059 Kraków, Poland
(Received 5 October 1995, accepted 5 January 1996)
Abstract
The structure of eigenstates for the ensembles of standard and periodic Band Random Matrices (BRM) is analysed. The main attention
is drawn to the scaling properties of the inverse participation ratio and other measures of localization length. Numerical
data are compared with analytical results recently derived for standard BRMs of very large band size. The data for periodic
and standard BRM allow us to exhibit the influence of boundary conditions on the properties of eigenstates.
© Les Editions de Physique 1996