Juan M. Pérez Pardo
My main research interests are the self-adjoint extensions of differential operators on manifolds with boundary and their applications in Quantum Mechanics.
This is a research field in Mathematics that combines functional analysis, operator theory, differential geometry and theory of PDE's. I am interested in applications of these results in different areas of Quantum Mechanics. These include the analysis of quantum systems with boundary, their spectral properties, and the theory of quantum control.