Quantum Sabine law for resonances in transmission problems | Vidéo | Carmin.tv

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Quantum Sabine law for resonances in transmission problems

By Jeffrey Galkowski

Appears in collection : Evolution equations on singular spaces / Équations d'évolution sur les espaces singuliers

We prove a quantum Sabine law for the location of resonances in transmission problems. In this talk, our main applications are to scattering by strictly convex, smooth, transparent obstacles and highly frequency dependent delta potentials. In each case, we give a sharp characterization of the resonance free regions in terms of dynamical quantities. In particular, we relate the imaginary part of resonances to the chord lengths and reflectivity coefficients for the ray dynamics and hence give a quantum version of the Sabine law from acoustics.

Information about the video

Date of recording 28/04/2016
Date of publication 12/05/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18963703
Cite this video Galkowski, Jeffrey (28/04/2016). Quantum Sabine law for resonances in transmission problems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18963703
URL https://dx.doi.org/10.24350/CIRM.V.18963703

Domain(s)

Bibliography

Galkowski, J. (2015). The quantum Sabine law for resonances in transmission problems. <arXiv:1511.05091> - http://arxiv.org/abs/1511.05091

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