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Amplitude Distribution of Eigenfunctions in Mixed Systems

Backer, Arnd; Schubert, Roman

HPL-BRIMS-2001-10

Keyword(s): quantum chaos; random wave model; mixed systems

Abstract: 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 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. Notes: Roman Schubert, Abteilung Theoretische Physik, Universitat Ulm, Albert-Einstein- Allee 11, D-89069 Ulm, Germany

13 Pages

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