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math.DG2018
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…
math-ph2018
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…