11 citations · 11 across the 1 of their papers we have counts for
7 papers
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…
Korteweg-de Vries and Fermi-Pasta-Ulam-Tsingou: asymptotic integrability of quasi unidirectional waves
Matteo Gallone, Antonio Ponno, Bob Rink
In this paper we construct a higher order expansion of the manifold of quasi unidirectional waves in the Fermi-Pasta-Ulam (FPU) chain. We also approximate the dynamics on this mani…
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…
Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction
Matteo Gallone, Stefano Pasquali
We study analytically the dynamics of two-dimensional rectangular lattices with periodic boundary conditions. We consider anisotropic initial data supported on one low-frequency Fo…
On Geometric Quantum Confinement in Grushin-type Manifolds
Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli
We study the problem of so-called geometric quantum confinement in a class of two-dimensional incomplete Riemannian manifold with metric of Grushin type. We employ a constant-fibre…
Hydrogenoid spectra with central perturbations
Matteo Gallone, Alessandro Michelangeli
Through the Kre\uın-Višik-Birman extension scheme, unlike the classical analysis based on von Neumann's theory, we reproduce the construction and classification of all self-adjoint…