99 citations · 610 across the 32 of their papers we have counts for
39 papers
A renormalized Lee Model: resolvent and spectral analysis
Claudio Cacciapuoti, Federica Muscolino, Diego Noja +1
We construct and analyze a renormalized three-dimensional massive Lee model; its renormalized Hamiltonian is defined intrinsically through an abstract construction which explicitly…
Robin Laplacians with point interactions on unbounded domains: discrete spectrum and coupling asymptotics
Diego Noja, Francesco Raso Stoia
We investigate the discrete spectrum of finitely many point interactions for Neumann and Robin Laplacians on special unbounded and exterior domains in dimensions two and…
The Dirichlet Laplacian with a point interaction on unbounded Lipschitz domains
Diego Noja, Francesco Raso Stoia
We study one-centre point interactions for the Dirichlet Laplacian on unbounded domains in dimensions two and three, with emphasis on exterior domains and special Lipschitz domains…
Confinement and orbital stability of solitons of the NLS equation on metric graphs
Martino Caliaro, Diego Noja
We study the behavior of soliton states for the subcritical, time-dependent focusing NLS equation on a large family of non-compact metric graphs with Kirchhoff boundary conditions.…
Point interactions and singular solutions to semilinear elliptic equations
Filippo Boni, Diego Noja, Raffaele Scandone
We investigate the connection between semilinear elliptic PDEs with isolated singularities and stationary nonlinear Schrödinger equations with point interactions. In dimensions $d=…
Non-relativistic limit of Dirac Hamiltonians with Aharonov-Bohm fields
Matteo Gallone, Alessandro Michelangeli, Diego Noja
We characterise the families of self-adjoint Dirac and Schrödinger operators with Aharonov-Bohm magnetic field, and we exploit the non-relativistic limit of infinite light speed to…