Intermediate wave function statistics

G Berkolaiko, JP Keating, B Winn

Research output: Contribution to journalArticle (Academic Journal)peer-review

24 Citations (Scopus)


We calculate statistical properties of the eigenfunctions of two quantum systems that exhibit intermediate spectral statistics: star graphs and Seba billiards. First, we show that these eigenfunctions are not quantum ergodic, and calculate the corresponding limit distribution. Second, we find that they can be strongly scarred, in the case of star graphs by short (unstable) periodic orbits and, in the case of Seba billiards, by certain families of orbits. We construct sequences of states which have such a limit. Our results are illustrated by numerical computations.
Translated title of the contributionIntermediate wave function statistics
Original languageEnglish
Article numberart. no. 134103
JournalPhysical Review Letters
Volume91 (13)
Publication statusPublished - 26 Sep 2003

Bibliographical note

Publisher: American Physical Soc
Other identifier: IDS number 725ZX

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