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math.SP2020
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…
math.SP2018
Two dimensional Schr{\" o}dinger operators with point interactions: threshold expansions, zero modes and -boundedness of wave operators
Horia D. Cornean, Alessandro Michelangeli, Kenji Yajima
We study the threshold behaviour of two dimensional Schr{\" o}dinger operators with finitely many local point interactions. We show that the resolvent can either be continuously ex…