Title: Semiclassical measures of eigenfunctions of the hydrogen atom
Speaker: Nick Lohr
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:
We begin by defining semiclassical measures and reviewing some of their basic properties. We continue by giving an overview of the results in this field, including results of MaciĆ , Jakobson, and Zelditch. The main part of the talk will be discussing the proof behind the recent characterization of all the semiclassical measures of the hydrogen atom. To this end, we will discuss the various classical and quantum intertwining maps connecting the hydrogen atom to the 3-sphere. In the conclusion of the talk, we will discuss future work and directions.Date: Thursday, April 27, 2023