The Escape Rate of a Molecule

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...

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Bibliographic Details
Published in:Mathematical physics, analysis, and geometry analysis, and geometry, 2010-06, Vol.13 (2), p.159-189
Main Authors: Knauf, Andreas, Krapf, Markus
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Summary: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.
ISSN:1385-0172
1572-9656
DOI:10.1007/s11040-010-9073-z