47 citations · 426 across the 46 of their papers we have counts for
Showing math.SPShow all
3 papers · 1 filter
math.SP2023
On creating new essential spectrum by self-adjoint extension of gapped operators
Alessandro Michelangeli
Given a densely defined and gapped symmetric operator with infinite deficiency index, it is shown how self-adjoint extensions admitting arbitrarily prescribed portions of the gap a…
math.SP2020★ 5 cited
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★ 29 cited
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…