• Resonance eigenfunctions in chaotic scattering systems

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      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

       

      Martin Sieber1

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

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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