Which magnetic fields support a zero mode?

Math Physics Seminar
Thursday, September 29, 2022 - 4:30pm for 1 hour (actually 50 minutes)
Skiles Room 005
Michael Loss – School of Mathematics, Georgia Tech – loss@math.gatech.eduhttps://loss.math.gatech.edu
Michael Loss

Please Note: Note the different time!

I present some results concerning the size of magnetic fields that support zero modes for the three dimensional Dirac equation and related problems for spinor equations. Critical quantities measuring this size are the 3/2 norm of the magnetic field B and the 3 norm of the vector potential A.  The point is that the spinor structure enters the analysis in a crucial way. This is joint work with Rupert Frank at LMU Munich.