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arXiv · 0805.0728

The Escape Rate of a Molecule

Andreas Knauf·Markus Krapf
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Abstract

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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Andreas Knauf, Markus Krapf. 2008-05-06. The Escape Rate of a Molecule. https://arxiv.org/abs/0805.0728

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