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TT: Fachverband Tiefe Temperaturen

TT 99: Quantum Chaos and Coherent Dynamics (joint session DY/TT)

TT 99.2: Vortrag

Freitag, 13. März 2026, 09:45–10:00, HÜL/S186

Normalization of resonance states in chaotic scattering systems — •Florian Lorenz, Jan Möseritz-Schmidt, and Roland Ketzmerick — TU Dresden, Institut für Theoretische Physik, Dresden, Germany

The normalization of resonance states in scattering systems poses a challenge due to their divergent asymptotic behavior. As a consequence, they cannot be normalized by the usual norm, but instead, by the overlap between left and right resonance states. For dielectric cavities, we demonstrate that this left-right overlap can be computed efficiently using a boundary integral, avoiding divergent integrands. This result provides a practical numerical tool for resonance state normalization. For example, this allows for exact time evolution of wave packets based on resonance states.

Keywords: Quantum Chaos; Chaotic scattering; Resonance states; Correlations