47 citations · 231 across the 19 of their papers we have counts for
19 papers
Contac interactions, Gamma convergence in Electrodynamics and the (Nelson) Polaron
Gianfausto Dell'Antonio
The Polaron is the quantum of a "Polarization" field originated by the "contact" interaction [D1][D2] of a massive polarizable particle with a photon. We prove that this process pr…
Contact interactions in Q.M. Gamma convergence and Bose-Einstein condensation
Gianfausto Dell'Antonio
We describe \emph{zero range} (contact) interactions, weak and strong. Strong contact leads to the Efimov effect in Low Energy Nuclear Physics, weak contact leads to Bose-Einstein…
Zero range interactions in d=3 and d=2 revisited
Gianfausto Dell'Antonio
This paper has a two-fold purpose: 1) to clarify the difference between contact and weak-contact interactions (called point interactions in [A] in the case ) in three dimensio…
Zero range (contact) interactions conspire to produce Efimov trimers and quadrimers
Gianfausto Dell'Antonio
We introduce \emph{contact (zero range) interactions } , a special class of self-adjoint extensions of the N-body Schrödinger free hamiltonian restricted to functions with s…
N-body problem with contact interactions
Gianfausto Dell'Antonio
We introduce \emph{contact interactions hamiltonians} (self-adjointoperators defined by boundary conditions) between massive particles in , . We prove that they…
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…