Morphological Image Analysis of Quantum Motion in Billiards
Chaotic Dynamics
2009-10-31 v3 Quantum Physics
Abstract
Morphological image analysis is applied to the time evolution of the probability distribution of a quantum particle moving in two and three-dimensional billiards. It is shown that the time-averaged Euler characteristic of the probability density provides a well defined quantity to distinguish between classically integrable and non-integrable billiards. In three dimensions the time-averaged mean breadth of the probability density may also be used for this purpose.
Cite
@article{arxiv.nlin/0002055,
title = {Morphological Image Analysis of Quantum Motion in Billiards},
author = {J. S. Kole and K. Michielsen and H. De Raedt},
journal= {arXiv preprint arXiv:nlin/0002055},
year = {2009}
}
Comments
Major revision. Changes include a more detailed discussion of the theory and results for 3 dimensions. Now: 10 pages, 9 figures (some are colored), 3 tables