Amplitude distribution of eigenfunctions in mixed systems

Details Amplitude distribution of eigenfunctions in mixed systems Amplitude distribution of eigenfunctions in mixed systems

2001-06-13

arxiv.org/abs/nlin/0106017v1

J. Phys. A. 35 (2002) 527-538

Nonlinear Sciences

Chaotic Dynamics

13 pages, 3 figures. Some of the pictures are included in low resolution only. For a version with pictures in high resolution

Scientific paper

10.1088/0305-4470/35/3/306

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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