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Does it matter what we randomise Tacy, Melissa Jul 19, 2018

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Title Does it matter what we randomise
Creator Tacy, Melissa
Publisher Banff International Research Station for Mathematical Innovation and Discovery
Date Issued 2018-07-19T14:30
Description The behaviour of quantum chaotic states of billiard systems is believed to be well described by Berry's random plane wave model $$u=\sum_{j}c_{j}e^{i\lambda x\cdot \xi_{j}}$$ where the $c_{j}$ are Gaussian random variables. However, in $\R^{n}$ there are many other candidate waves over which we could randomise. Some are easier to adapt to manifolds than others. In this talk I will discuss when  (in $\R^{n}$) we can replace the $e^{i\lambda x\cdot \xi_{j}}$ with other waves and how those can be adapted to manifolds.
Extent 47.0
Subject Mathematics
Quantum theory
Global analysis, analysis on manifolds
Mathematical physics
Geographic Location Banff (Alta.)
Type Moving Image
FileFormat video/mp4
Language eng
Notes Author affiliation: University of Otago
Series BIRS Workshop Lecture Videos (Banff, Alta)
Date Available 2019-03-14
Provider Vancouver : University of British Columbia Library
Rights Attribution-NonCommercial-NoDerivatives 4.0 International
DOI 10.14288/1.0376854
URI http://hdl.handle.net/2429/68688
Affiliation Non UBC
Peer Review Status Unreviewed
Scholarly Level Faculty
Rights URI http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository DSpace

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48630-201807191430-Tacy_lrv.mp4 [ 148.12MB ]
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