25 citations · 168 across the 24 of their papers we have counts for
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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…
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,…