Morphological Image Analysis of Quantum Motion in Billiards

Details Morphological Image Analysis of Quantum Motion in Billiards Morphological Image Analysis of Quantum Motion in Billiards

2000-02-29

arxiv.org/abs/nlin/0002055v3

Nonlinear Sciences

Chaotic Dynamics

Major revision. Changes include a more detailed discussion of the theory and results for 3 dimensions. Now: 10 pages, 9 figure

Scientific paper

10.1103/PhysRevE.63.016201

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.

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