Amplitude distribution of eigenfunctions in mixed systems

A Bäcker, RCV Schubert

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

29 Citations (Scopus)


We study the amplitude distribution of irregular eigenfunctions in systems with mixed classical phase space. For an appropriately restricted random wave model, a theoretical prediction for the amplitude distribution is derived and a good agreement with numerical computations for the family of limacon billiards is found. The natural extension of our result to more general systems, e.g. with a potential, is also discussed.
Translated title of the contributionAmplitude distribution of eigenfunctions in mixed systems
Original languageEnglish
Pages (from-to)527 - 538
Number of pages12
JournalJournal of Physics A: Mathematical and General
Volume35 (3)
Publication statusPublished - 25 Jan 2002

Bibliographical note

Publisher: IOP Publishing Ltd
Other identifier: IDS number 523PV


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