Resonance states of the three-disk scattering system

Research output: Contribution to journalResearch articleContributedpeer-review


For the paradigmatic three-disk scattering system, we confirm a recent conjecture for open chaotic systems, which claims that resonance states are composed of two factors. In particular, we demonstrate that one factor is given by universal exponentially distributed intensity fluctuations. The other factor, supposed to be a classical density depending on the lifetime of the resonance state, is found to be very well described by a classical construction. Furthermore, ray-segment scars, recently observed in dielectric cavities, dominate every resonance state at small wavelengths also in the three-disk scattering system. We introduce a new numerical method for computing resonances, which allows for going much further into the semiclassical limit. As a consequence we are able to confirm the fractal Weyl law over a correspondingly large range.


Original languageEnglish
Article number123034
JournalNew journal of physics
Issue number12
Publication statusPublished - Dec 2023

External IDs

ORCID /0000-0003-3464-4472/work/155840623


ASJC Scopus subject areas


  • fractal Weyl law, quantum chaos, resonance states, semiclassical limit, three-disk scattering system