4 papers · 1 filter
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…
Resonances and resonance expansions for point interactions on the half-space
Diego Noja, Francesco Raso Stoia
In this paper we describe the resonances of the singular perturbation of the Laplacian on the half space given by the self-adjoint operator named -interactio…
Approximation of Schrödinger operators with point interactions on bounded domains
Diego Noja, Raffaele Scandone
We consider Schrödinger operators on a bounded domain , with homogeneous Robin or Dirichlet boundary conditions on and a point (zero-range) in…
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 t…