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math.DG2020★ 6 cited
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,…
math.DG2018★ 11 cited
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…