Event Host: Institute for Optical Science
Short Description: Ovidiu Costin, professor in the Department of Mathematics, will describe what is roughly the state of the art in the rigorous theory of the Schrodinger equation in settings suitable for modeling matter in interaction with external periodic fields which are not necessarily small.
The Institute for Optical Science aims to create a community of multidisciplinary researchers in the optical sciences extending beyond traditional academic boundaries at the research level and identifying strengths in interdisciplinary photon science research.
In this lecture, Ovidiu Costin, professor in the Department of Mathematics, will describe what is roughly the state of the art in the rigorous theory of the Schrodinger equation in settings suitable for modeling matter in interaction with external periodic fields which are not necessarily small. The focus will primarily be on results in some model problems, starting with the simplest --based on a delta-function potential, to Coulomb atoms and the photoelectric effect, his latest work. In the latter problem we rigorously obtain the wave function for all x and t, which exhibits some intricate behavior especially at small times, and prove an asymptotic result for large time conjectured by Faisal & al.
Costin will describe the mathematical difficulties and the machinery he helped develop over the last 20 years or so to overcome them.
Event is free and open to the public. For more information, please visit the Department of Mathematics website.
