Browsing Preprints by Subject "Singular perturbations of the Laplacian"

Now showing items 1-5 of 5

Lp-boundedness of wave operators for the three-dimensional multi-centre point interaction

Dell'Antonio, Gianfausto; Michelangeli, Alessandro; Scandone, Raffaele; Yajima, Kenji (2017-04-13)

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 Lp(R3) for 1 < p < 3 and unbounded otherwise.
Multiplicity of self-adjoint realisations of the (2+1)-fermionic model of Ter-Martirosyan--Skornyakov type

Michelangeli, Alessandro; Ottolini, Andrea (2016-12)

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 nature through an interaction of zero range. ...
On fractional powers of singular perturbations of the Laplacian

Georgiev, Vladimir; Michelangeli, Alessandro; Scandone, Raffaele (2017)

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 with a contact interaction supported at the ...
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 ...
Singular Hartree equation in fractional perturbed Sobolev spaces

Michelangeli, Alessandro; Olgiati, Alessandro; Scandone, Raffaele (2017)

We establish the local and global theory for the Cauchy problem of the singular Hartree equation in three dimensions, that is, the modification of the non-linear Schrödinger equation with Hartree non-linearity, where ...

Browsing Preprints by Subject "Singular perturbations of the Laplacian"

Browsing Preprints by Subject "Singular perturbations of the Laplacian"

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