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Amplitude distribution of eigenfunctions in mixed systems

Arnd Bäcker·Roman Schubert
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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.

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Arnd Bäcker, Roman Schubert. 2001-06-13. Amplitude distribution of eigenfunctions in mixed systems. https://doi.org/10.1088/0305-4470%2F35%2F3%2F306

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