The Escape Rate of a Molecule

Details The Escape Rate of a Molecule The Escape Rate of a Molecule

2008-05-06

arxiv.org/abs/0805.0728v1

Nonlinear Sciences

Chaotic Dynamics

28 pages, 1 figure

Scientific paper

We show existence and give an implicit formula for the escape rate of the n-centre problem of celestial mechanics for high energies. Furthermore we give precise computable estimates of this rate. This exponential decay rate plays an important role especially in semiclassical scattering theory of n-atomic molecules. Our result shows that the diameter of a molecule is measurable in a (classical) high-energy scattering experiment.

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