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Resonance eigenfunctions in chaotic scattering systems

✍ Scribed by Martin Sieber

Book ID
107588614
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
312 KB
Volume
73
Category
Article
ISSN
0304-4289

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This paper presents numerical evidence that in quantum systems with chaotic classical dynamics, the number of scattering resonances near an energy E scales like h --(D(K E )+1)/2 as h -β†’ 0. Here, K E denotes the subset of the energy surface {H = E} which stays bounded for all time under the flow gen