TY - ELEC
AU - Tacy, Melissa
PY - 2018
TI - Does it matter what we randomise
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0376854
ER - End of Reference