99 citations · 599 across the 30 of their papers we have counts for
35 papers
A mathematical model for the Einstein-Podolsky-Rosen argument
Riccardo Adami, Luigi Barletti, Alessandro Teta
We study a nonrelativistic system made of two quantum particles constrained to move on a line and a spin located at a fixed point of the line. Initially the two particles are in a…
Microscopic derivation of a Schrödinger equation in dimension one with a nonlinear point interaction
Riccardo Adami, Jinyeop Lee
We derive an effective equation for the dynamics of many identical bosons in dimension one in the presence of a tiny impurity. The interaction between every pair of bosons is media…
Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We study the ground states for the Schrödinger equation with a focusing nonlinearity and a point interaction in dimension three. We establish that ground states exist for every val…
Ground states for the planar NLSE with a point defect as minimizers of the constrained energy
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We investigate the ground states for the focusing, subcritical nonlinear Schrödinger equation with a point defect in dimension two, defined as the minimizers of the energy function…
Discontinuous Ground States for NLSE on with a Fülöp-Tsutsui interaction
Riccardo Adami, Takaaki Nakamura, Alice Ruighi
We analyse the existence and the stability of the ground states of the one-dimensional nonlinear Schrödinger equation with a focusing power nonlinearity and a defect located at the…
Competing nonlinearities in NLS equations as source of threshold phenomena on star graphs
Riccardo Adami, Filippo Boni, Simone Dovetta
We investigate the existence of ground states for the nonlinear Schrödinger Equation on star graphs with two subcritical focusing nonlinear terms: a standard power nonlinearity, an…