47 citations · 426 across the 46 of their papers we have counts for
10 papers · 1 filter
On Krylov solutions to infinite-dimensional inverse linear problems
Noe Caruso, Alessandro Michelangeli, Paolo Novati
We discuss, in the context of inverse linear problems in Hilbert space, the notion of the associated infinite-dimensional Krylov subspace and we produce necessary and sufficient co…
On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems
Noe Caruso, Alessandro Michelangeli, Paolo Novati
In the framework of abstract linear inverse problems in infinitedimensional Hilbert space we discuss generic convergence behaviours of approximate solutions determined by means of…
Mean-field dynamics for mixture condensates via Fock space methods
Gustavo de Oliveira, Alessandro Michelangeli
We consider a mean-field model to describe the dynamics of bosons of species one and bosons of species two in the limit as and go to infinity. We embed this…
On Geometric Quantum Confinement in Grushin-type Manifolds
Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli
We study the problem of so-called geometric quantum confinement in a class of two-dimensional incomplete Riemannian manifold with metric of Grushin type. We employ a constant-fibre…
Hydrogenoid spectra with central perturbations
Matteo Gallone, Alessandro Michelangeli
Through the Kre\uın-Višik-Birman extension scheme, unlike the classical analysis based on von Neumann's theory, we reproduce the construction and classification of all self-adjoint…
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…
Point-like perturbed fractional Laplacians through shrinking potentials of finite range
Alessandro Michelangeli, Raffaele Scandone
We reconstruct the rank-one, singular (point-like) perturbations of the -dimensional fractional Laplacian in the physically meaningful norm-resolvent limit of fractional Schrödi…
Ground state energy of mixture of Bose gases
Alessandro Michelangeli, Phan Thành Nam, Alessandro Olgiati
We consider the asymptotic behavior of a system of multi-component trapped bosons, when the total particle number becomes large. In the dilute regime, when the interaction pote…
Effective non-linear spinor dynamics in a spin-1 Bose-Einstein condensate
Alessandro Michelangeli, Alessandro Olgiati
We derive from first principles the experimentally observed effective dynamics of a spinor Bose gas initially prepared as a Bose-Einstein condensate and then left free to expand ba…
Fractional powers and singular perturbations of quantum differential Hamiltonians
Alessandro Michelangeli, Andrea Ottolini, Raffaele Scandone
We consider the fractional powers of singular (point-like) perturbations of the Laplacian, and the singular perturbations of fractional powers of the Laplacian, and we compare such…