%0 Report %D 2018 %T On Geometric Quantum Confinement in Grushin-Like Manifolds %A Matteo Gallone %A Alessandro Michelangeli %A Eugenio Pozzoli %X 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 direct integral scheme, in combination with Weyl's analysis in each fibre, thus fully characterising the regimes of presence and absence of essential self-adjointness of the associated Laplace-Beltrami operator. %G en %U http://preprints.sissa.it/handle/1963/35322 %1 35632 %2 Mathematics %4 1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2018-09-19T07:05:15Z No. of bitstreams: 1 GMP-Grushin-SISSApreprint.pdf: 390608 bytes, checksum: c4bbb299a3b07668840d185c315c1a29 (MD5)