Michele Correggi: Schroedinger and Pauli Operators with Aharonov-Bohm Fluxes

Date: 2024-06-11

Time: 14:50 - 15:40

Michele Correggi, Politecnico di Milano

We present a review of recent and earlier results concerning Schroedinger and Pauli operators with singular magnetic fields of Aharonov-Bohm (AB) type, i.e., concentrated at isolated points. We focus first on Schroedinger and Pauli operators with a single AB flux: we classify all the self-adjoint realizations and thoroughly discuss all the main spectral and scattering properties. Next, we analyse Schroedinger operators with many fluxes and, finally, we discuss the homogenization limit of infinitely many fluxes of rescaled intensities in a given bounded domain.