EVENT DETAILS AND ABSTRACT

Title: Quantum Ergodicity: Billiards and Eigenfunctions
Speaker: Perry Kleinhenz
Speaker Info:
Brief Description:
Special Note:
Abstract:

In this talk we will discuss the interesting connection between the classical motion of a particle in a 2d domain and the concentration properties of eigenfunctions of the Laplacian on the domain. After covering necessary background we state the quantum ergodicity theorem: if the classical flow is ergodic then a subsequence of the eigenfunctions of the Laplacian tend to the uniform distribution as the eigenvalue tends towards infinity. This talk will be accessible to undergraduate math majors.