Non UBC
DSpace
Tacy, Melissa
2019-03-14T02:01:53Z
2018-07-19T14:30
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 whenÂ (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.
https://circle.library.ubc.ca/rest/handle/2429/68688?expand=metadata
47.0
video/mp4
Author affiliation: University of Otago
Banff (Alta.)
10.14288/1.0376854
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Quantum theory
Global analysis, analysis on manifolds
Mathematical physics
Does it matter what we randomise
Moving Image
http://hdl.handle.net/2429/68688