Nodal domains statistics - a criterion for quantum chaos
Chaotic Dynamics
2009-11-07 v1
Abstract
We consider the distribution of the (properly normalized) numbers of nodal domains of wave functions in 2- quantum billiards. We show that these distributions distinguish clearly between systems with integrable (separable) or chaotic underlying classical dynamics, and for each case the limiting distribution is universal (system independent). Thus, a new criterion for quantum chaos is provided by the statistics of the wave functions, which complements the well established criterion based on spectral statistics.
Keywords
Cite
@article{arxiv.nlin/0109029,
title = {Nodal domains statistics - a criterion for quantum chaos},
author = {Galya Blum and Sven Gnutzmann and Uzy Smilansky},
journal= {arXiv preprint arXiv:nlin/0109029},
year = {2009}
}
Comments
4 pages, 5 figures, revtex