Quantum leaks

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

2 Citations (Scopus)


We show that eigenfunctions of the Laplacian on certain non-compact domains with finite area may localize at infinity - provided there is no extreme level clustering - and thus rule out quantum unique ergodicity for such systems. The construction is elementary and based on 'bouncing ball' quasimodes whose discrepancy is proved to be significantly smaller than the mean level spacing.
Translated title of the contributionQuantum leaks
Original languageEnglish
Pages (from-to)303 - 316
Number of pages14
JournalCommunications in Mathematical Physics
Volume264 (2)
Publication statusPublished - Jun 2006

Bibliographical note

Publisher: Springer
Other identifier: IDS number 034FT


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