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Open Quantum Systems Decoherence

Morphological image analysis of quantum motion in billiards.

PubMed

Authors: Kole JS, Michielsen K, De Raedt H

Year

2001

Paper ID

13238

Status

Peer-reviewed

Abstract Read

~2 min

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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 distribution provides a well defined quantity to distinguish between classically integrable and nonintegrable billiards. In three dimensions the time-averaged mean breadth of the probability distribution may also be used for this purpose.

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Morphological image analysis is applied to the time evolution of the probability distribution of a quantum particle moving in two- and three-dimensional billiards.

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References & Citation Signals

[1] DOI https://doi.org/10.1103/PhysRevE.63.016201 [2] Publisher https://pubmed.ncbi.nlm.nih.gov/11304329/

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External citation index: OpenAlex citation signal • updated 2026-06-13 04:45:46

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