• Self-adjoint extensions with Friedrichs lower bound 

  Gallone, Matteo; Michelangeli, Alessandro (SISSA, 2020)

  We produce a simple criterion and a constructive recipe to identify those self-adjoint extensions of a lower semi-bounded symmetric operator on Hilbert space which have the same lower bound as the Friedrichs extension. ...
• Geometric Confinement and Dynamical Transmission of a Quantum Particle in Grushin Cylinder 

  Gallone, Matteo; Michelangeli, Alessandro; Pozzoli, Eugenio (SISSA, 2019)

  We classify the self-adjoint realisations of the Laplace-Beltrami operator minimally defined on an infinite cylinder equipped with an incom-plete Riemannian metric of Grushin type, in the non-trivial class of metrics yielding ...
• Zero modes and low-energy resolvent expansion for three dimensional Schrodinger operators with point interactions 

  Scandone, Raffaele (SISSA, 2019)

  We study the low energy behavior of the resolvent of Schrodinger operators with finitely many point interactions in three dimensions. We also discuss the occurrence and the multiplicity of zero energy obstructions.
• Deformations of holomorphic pairs and 2d-4d wall-crossing 

  Fantini, Veronica (2019)

  We show how wall-crossing formulas in coupled 2d-4d systems, introduced by Gaiotto, Moore and Neitzke, can be interpreted geometrically in terms of the deformation theory of holomorphic pairs, given by a complex manifold ...
• On real resonances for three-dimensional Schrödinger operators with point interactions 

  Michelangeli, Alessandro; Scandone, Raffaele (SISSA, 2019-02-20)

  We prove the absence of positive real resonances for Schroedinger operators with finitely many point interactions in R3 and we discuss such a property from the perspective of dispersive and scattering features of the ...

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