Mathematics Senior Research Talk: Hengrui Zhu ’21

Date, time, location

Date Thursday, March 11, 2021

Time 3:30 pm to 4:30 pm

Additional details

Event Website

“Decay of Eigenfunctions for Schrödinger Operators with a Non-compactly Supported Classical Region”, presented by Math major Hengrui Zhu ’21.

An important result by Agmon implies that, in quantum mechanics, an eigenfunction of the Schrödinger equation in n dimensional space decays exponentially if the classical region is compactly supported. We extend this result to eigenvalues, for which the classical region is not compactly supported. We show that assuming integrability of the characteristic function of the classical region with respect to an increasing weight function implies L^2-decay of the eigenfunction with respect to the same weight. Here, decay is measured in the Agmon metric which takes into account anisotropies of the potential energy.

Please contact mathematics@oberlin.edu for the Zoom link to this event.