Poincaré resonances and the limits of trajectory dynamics.
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- Record sourced from PubMed, PMID 11607428.
- Also identified by PMC identifier 47574.
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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.