Noncommutative Geometry Seminar

Date: October 10, 2018

Time: 2:00PM - 3:00PM

Location: BLOC 628

Speaker: Dean Baskin, Texas A&M University

Title: Diffraction for the Dirac equation with Coulomb-like potentials

Abstract: The Dirac equation describes the relativistic evolution of electrons and positrons. We consider the (time-dependent!) Dirac equation in three spatial dimensions coupled to a potential with Coulomb singularities. We show that singularities of the solutions are typically diffracted by the singularities of the potential and compute the symbol of the diffracted wave. In this talk I will 1) describe what I mean by diffraction in a simpler setting, 2) describe our results for the Dirac equation, and 3) ask the audience for help understanding these results in a more geometric way. This talk is based on joint work with Oran Gannot and Jared Wunsch.