Spectral statistics in semiclassical random-matrix ensembles

Mario Feingold, David M. Leitner, Michael Wilkinson

Research output: Contribution to journalArticlepeer-review

75 Scopus citations

Abstract

A novel random-matrix ensemble is introduced which mimics the global structure inherent in the Hamiltonian matrices of autonomous, ergodic systems. Changes in its parameters induce a transition between a Poisson and a Wigner distribution for the level spacings, P(s). The intermediate distributions are uniquely determined by a single scaling variable. Semiclassical constraints force the ensemble to be in a regime with Wigner P(s) for systems with more than two freedoms.

Original languageEnglish
Pages (from-to)986-989
Number of pages4
JournalPhysical Review Letters
Volume66
Issue number8
DOIs
StatePublished - 1 Jan 1991
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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