47 citations · 426 across the 46 of their papers we have counts for
8 papers · 1 filter
Self-adjointness in Quantum Mechanics: a pedagogical path
Andrea Cintio, Alessandro Michelangeli
Observables in quantum mechanics are represented by self-adjoint operators on Hilbert space. Such ubiquitous, well-known, and very foundational fact, however, is traditionally subt…
Quantum particle across Grushin singularity
Matteo Gallone, Alessandro Michelangeli
A class of models is considered for a quantum particle constrained on degenerate Riemannian manifolds known as Grushin cylinders, and moving freely subject only to the underlying g…
Models of zero-range interaction for the bosonic trimer at unitarity
Alessandro Michelangeli
We present the mathematical construction of the physically relevant quantum Hamiltonians for a three-body systems consisting of identical bosons mutually coupled by a two-body inte…
Faber-Krahn inequalities for Schrödinger operators with point and with Coulomb interactions
Vladimir Lotoreichik, Alessandro Michelangeli
We obtain new Faber-Krahn-type inequalities for certain perturbations of the Dirichlet Laplacian on a bounded domain. First, we establish a two- and three-dimensional Faber-Krahn i…
Self-adjoint extensions with Friedrichs lower bound
Matteo Gallone, Alessandro Michelangeli
We produce a simple criterion and a constructive recipe to identify those self-adjoint extensions of a lower semi-bounded symmetric operator on Hilbert space which have the same lo…
Quantum Geometric Confinement and Dynamical Transmission in Grushin Cylinder
Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli
We classify the self-adjoint realisations of the Laplace-Beltrami operator minimally defined on an infinite cylinder equipped with an incomplete Riemannian metric of Grushin type,…
On real resonances for three-dimensional Schrödinger operators with point interactions
Alessandro Michelangeli, Raffaele Scandone
We prove the absence of positive real resonances for Schrödinger operators with finitely many point interactions in and we discuss such a property from the perspecti…
Krylov solvability of unbounded inverse linear problems
Noe Caruso, Alessandro Michelangeli
The abstract issue of 'Krylov solvability' is extensively discussed for the inverse problem where is a (possibly unbounded) linear operator on an infinite-dimensional…