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BIRS Workshop Lecture Videos
Does it matter what we randomise Tacy, Melissa
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.
Item Metadata
| Title |
Does it matter what we randomise
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2018-07-19T14:30
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| 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.
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| Extent |
47.0
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Otago
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| Series | |
| Date Available |
2019-03-14
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0376854
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International