Localization and spectral statistics in a banded random matrix ensemble

M. Wilkinson, M. Feingold, D. M. Leitner

Research output: Contribution to journalArticlepeer-review

47 Scopus citations

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 languageEnglish
Article number025
Pages (from-to)175-182
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume24
Issue number1
DOIs
StatePublished - 1 Dec 1991

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