PDE Seminar Abstracts

Quantisation and localisation of dynamical observables

Melissa Tacy
Australian National University
Mon 26th Sep 2016, 2-3pm, Carslaw Room 829 (AGR)


The quantum-classical correspondence principle leads us to expect that high energy solutions to Schrödinger’s equation should display echoes of the behaviour of the analogous classical systems. One way to study this concept quantitatively is to study the behaviour of the relevant stationary states (eigenfunctions with high eigenvalue). In this talk I will discuss a number of results that link the concentration and localisation properties of the quantum analogous of classical observables such as normal velocity and acceleration to the equivalent classical behaviour.