Publications (22)
Scale Invariant Effective Hamiltonians for a Graph with a Small Compact Core
Claudio Cacciapuoti
The point-like limit for a NLS equation with concentrated nonlinearity in dimension three
Claudio Cacciapuoti, Domenico Finco, Diego Noja +1
Existence of the ground state for the NLS with potential on graphs
Claudio Cacciapuoti
On the structure of critical energy levels for the cubic focusing NLS on star graphs
Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1
Graph-like asymptotics for the Dirichlet Laplacian in connected tubular domains
Claudio Cacciapuoti
The three-body problem in dimension one: From short-range to contact interactions
Giulia Basti, Claudio Cacciapuoti, Domenico Finco +1
Time dependent delta-prime interactions in dimension one
Claudio Cacciapuoti, Andrea Mantile, Andrea Posilicano
Relative partition function of Coulomb plus delta interaction
Sergio Albeverio, Claudio Cacciapuoti, Mauro Spreafico
Variational and stability properties of constant solutions to the NLS equation on compact metric graphs
Claudio Cacciapuoti, Simone Dovetta, Enrico Serra
Local Marchenko-Pastur Law at the Hard Edge of Sample Covariance Matrices
Claudio Cacciapuoti, Anna Maltsev, Benjamin Schlein
Coupling in the singular limit of thin quantum waveguides
Sergio Albeverio, Claudio Cacciapuoti, Domenico Finco
Ground state and orbital stability for the NLS equation on a general starlike graph with potentials
Claudio Cacciapuoti, Domenico Finco, Diego Noja
Fast solitons on star graphs
Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1
Resonances in Models of Spin Dependent Point Interactions
Claudio Cacciapuoti, Raffaele Carlone, Rodolfo Figari
Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy
Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1
Effective equation for a system of mechanical oscillators in an acoustic field
Claudio Cacciapuoti, Rodolfo Figari, Andrea Posilicano
Bounds for the Stieltjes Transform and the Density of States of Wigner Matrices
Claudio Cacciapuoti, Anna Maltsev, Benjamin Schlein
The 1-D Dirac equation with concentrated nonlinearity
Claudio Cacciapuoti, Raffaele Carlone, Diego Noja +1
Perturbations of eigenvalues embedded at threshold: one, two and three dimensional solvable models
Claudio Cacciapuoti, Raffaele Carlone, Rodolfo Figari
Stationary States of NLS on Star Graphs
Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1
Spin dependent point potentials in one and three dimensions
Claudio Cacciapuoti, Raffaele Carlone, Rodolfo Figari
The Riemann zeta in terms of the dilogarithm
Sergio Albeverio, Claudio Cacciapuoti