Some results for functionals of Aharanov-Bohm type

Spectral Methods in Mathematical Physics

05 March 14:00 - 15:00

Michael Loss - Georgia Institute of Technology

In this talk I present some variational problems of Aharanov-Bohm type, i.e., they include a magnetic flux that is entirely concentrated at a point. This is maybe the simplest example of a variational problem for systems, the wave function being necessarily complex.
The functional is rotationally invariant and the issue to be discussed is whether the optimizer have this symmetry or whether it is broken.
Søren Fournais
Aarhus University
Rupert Frank
LMU Munich
Benjamin Schlein
University of Zurich, UZH
Simone Warzel
TU Munich


Rupert Frank


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