• Resonance eigenfunctions in chaotic scattering systems

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/073/03/0543-0551

• # Keywords

Resonances; semiclassics; quantum chaos.

• # 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 $\hbar \rightarrow 0$ 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.

• # Author Affiliations

1. School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom

• # Pramana – Journal of Physics

Volume 96, 2022
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• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019