TY - RPRT
T1 - On Geometric Quantum Confinement in Grushin-Like Manifolds
Y1 - 2018
A1 - Matteo Gallone
A1 - Alessandro Michelangeli
A1 - Eugenio Pozzoli
AB - 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.
UR - http://preprints.sissa.it/handle/1963/35322
N1 - 16 pages
U1 - 35632
U2 - Mathematics
U4 - 1
ER -