Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians

Matteo Gallone is a researcher in mathematical physics at the Mathematics department of the University of Milan. His scientific interests lie between theoretical physics, mathematical physics and functional analysis. He has studied energy localisation in classical mechanical systems with many degrees of freedom, operator-theoretic problems stemming from quantum mechanical models, and his interests have recently also extended to quasi-periodic systems in statistical mechanics using the techniques of the constructive renormalisation group.

Alessandro Michelangeli is an Alexander von Humboldt Senior Researcher at the Institute for Applied Mathematics of the University of Bonn and at the Hausdorff Center for Mathematics, Bonn, and a member of the Institute of Theoretical Quantum Technologies (TQT), Trieste, having also held positions at the LMU Munich and the SISSA Trieste. His research is at the interface of analysis, mathematical physics, and theoretical physics, with expertise in functional analysis, operator theory, spectral theory, non-linear partial differential equations, and quantum mechanics. His more than 60 publications include two authored books and three edited monographs.