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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