47 citations · 426 across the 46 of their papers we have counts for
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Spectral analysis of the 2+1 fermionic trimer with contact interactions
Simon Becker, Alessandro Michelangeli, Andrea Ottolini
We qualify the main features of the spectrum of the Hamiltonian of point interaction for a three-dimensional quantum system consisting of three point-like particles, two identical…
Multiplicity of self-adjoint realisations of the (2+1)-fermionic model of Ter-Martirosyan-- Skornyakov type
Alessandro Michelangeli, Andrea Ottolini
We reconstruct the whole family of self-adjoint Hamiltonians of Ter-Martirosyan-- Skornyakov type for a system of two identical fermions coupled with a third particle of different…
On fractional powers of singular perturbations of the Laplacian
Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone
We qualify a relevant range of fractional powers of the so-called Hamiltonian of point interaction in three dimensions, namely the singular perturbation of the negative Laplacian w…
Discrete spectra for critical Dirac-Coulomb Hamiltonians
Matteo Gallone, Alessandro Michelangeli
The one-particle Dirac Hamiltonian with Coulomb interaction is known to be realised, in a regime of large (critical) couplings, by an infinite multiplicity of distinct self-adjoint…
Global, finite energy, weak solutions for the NLS with rough, time-dependent magnetic potentials
Paolo Antonelli, Alessandro Michelangeli, Raffaele Scandone
We prove the existence of weak solutions in the space of energy for a class of non-linear Schroedinger equations in the presence of a external rough magnetic potential. Under our a…
Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei
Matteo Gallone, Alessandro Michelangeli
We derive a classification of the self-adjoint extensions of the three-dimensional Dirac-Coulomb operator in the critical regime of the Coulomb coupling. Our approach is solely bas…
The boundedness of wave operators for the three-dimensional multi-centre point interaction
Gianfausto Dell'Antonio, Alessandro Michelangeli, Raffaele Scandone +1
We prove that, for arbitrary centres and strengths, the wave operators for three dimensional Schrödinger operators with multi-centre local point interactions are bounded in $L^p(\m…
Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates
Alessandro Michelangeli, Alessandro Olgiati
We derive the equations for the non-linear effective dynamics of a so called pseudo-spinor Bose-Einstein condensate, which emerges from the linear many-body Schrödinger equation at…