Home /  MLA - Regular Seminar (part 1): Propagation of singularities for the Dirac equation with Coulomb-like potentials

Seminar

MLA - Regular Seminar (part 1): Propagation of singularities for the Dirac equation with Coulomb-like potentials December 09, 2019 (11:00 AM PST - 12:00 PM PST)
Parent Program:
Location: SLMath: Baker Board Room
Speaker(s) Dean Baskin (Texas A & M University)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

The Dirac equation describes the relativistic evolution of electrons and positrons.  We consider the (time-dependent!) Dirac equation in three dimensions coupled to a potential with Coulomb-type singularities.  We prove a propagation of singularities result for this equation and show that singularities are diffracted by the singularities of the potential.  We finally compute the symbol of the diffracted wave and show it is typically non-zero.  This talk is based on joint work with Jared Wunsch.

No Notes/Supplements Uploaded No Video Files Uploaded