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.
Original language | English |
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Article number | 025 |
Pages (from-to) | 175-182 |
Number of pages | 8 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 24 |
Issue number | 1 |
DOIs | |
State | Published - 1 Dec 1991 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy