Resonance eigenfunctions in chaotic scattering systems |
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Authors: | Martin Sieber |
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Institution: | (1) Department of Neurology, University of Wisconsin, Madison, WI, USA |
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Abstract: | We study the semiclassical structure of resonance eigenstates of open chaotic systems. We obtain semiclassical estimates for
the weight of these states on different regions in phase space. These results imply that the long-lived right (left) eigenstates
of the non-unitary propagator are concentrated in the semiclassical limit ħ → 0 on the backward (forward) trapped set of the
classical dynamics. On this support the eigenstates display a self-similar behaviour which depends on the limiting decay rate. |
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Keywords: | |
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