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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1993 Oct 15;90(20):9393–9397. doi: 10.1073/pnas.90.20.9393

Poincaré resonances and the limits of trajectory dynamics.

T Petrosky 1, I Prigogine 1
PMCID: PMC47574  PMID: 11607428

Abstract

In previous papers we have shown that the elimination of the resonance divergences in large Poincare systems leads to complex irreducible spectral representations for the Liouville-von Neumann operator. Complex means that time symmetry is broken and irreducibility means that this representation is implementable only by statistical ensembles and not by trajectories. We consider in this paper classical potential scattering. Our theory applies to persistent scattering. Numerical simulations show quantitative agreement with our predictions.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

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