Title	A Quantum Sabine Law for Resonances in Transmission Problems
Creator	Galkowski, Jeffrey
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-02T15:51
Description	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
Extent	33 minutes
Subject	Mathematics; Partial differential equations; Global analysis, analysis on manifolds
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Stanford University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-02-02
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340035
URI	http://hdl.handle.net/2429/59858
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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