Localization and spectral statistics in a banded random matrix ensemble
- 1 January 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (1), 175-182
- https://doi.org/10.1088/0305-4470/24/1/025
Abstract
The authors investigate the localization properties of the eigenvectors of a banded random matrix ensemble, in which the diagonal matrix elements increase along the diagonal. They relate the results to a transition in the spectral statistics which is observed as a parameter is varied, and discuss the relevance of this model to the quantum mechanics of chaotic Hamiltonian systems.Keywords
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