1 citations · 2 across the 5 of their papers we have counts for
19 papers
Standing waves and global well-posedness for the 2d Hartree equation with a point interaction
Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone
We study a class of two-dimensional non-linear Schrödinger equations with point-like singular perturbation and Hartree non-linearity. The point-like singular perturbation of the fr…
Krylov solvability under perturbations of abstract inverse linear problems
Noe Angelo Caruso, Alessandro Michelangeli
When a solution to an abstract inverse linear problem on Hilbert space is approximable by finite linear combinations of vectors from the cyclic subspace associated with the datum a…
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…
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…
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…