Amplitude distribution of eigenfunctions in mixed systems
Chaotic Dynamics
2009-11-07 v1
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.
Cite
@article{arxiv.nlin/0106017,
title = {Amplitude distribution of eigenfunctions in mixed systems},
author = {Arnd Bäcker and Roman Schubert},
journal= {arXiv preprint arXiv:nlin/0106017},
year = {2009}
}
Comments
13 pages, 3 figures. Some of the pictures are included in low resolution only. For a version with pictures in high resolution see http://www.physik.uni-ulm.de/theo/qc/ or http://www.maths.bris.ac.uk/~maab/