Abstract
Our general aim is to analyse the typical behaviour of high-energy orbits. But the typical high-energy orbits are scattering states, since the bounded orbits are of measure zero by Proposition 6.9 and since the non-bounded non-scattering orbits are of measure zero by asymptotic completeness (Corollary 2.8). On the other hand, the bounded orbits are important since they influence the structure of those scattering states which have a long time delay. Lemma 7.4 gives a first example of a global observable (the topological entropy) which is determined entirely by the bounded orbits.
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© 1992 Springer-Verlag Berlin Heidelberg
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(1992). The Distribution of the Closed Orbits. In: Classical Planar Scattering by Coulombic Potentials. Lecture Notes in Physics Monographs, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47336-7_8
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DOI: https://doi.org/10.1007/978-3-540-47336-7_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55987-0
Online ISBN: 978-3-540-47336-7
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