The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit

C. Cacciapuoti, D. Finco, D. Noja +1

In the present paper we study the following scaled nonlinear Schrödinger equation (NLS) in one space dimension: \[ i\frac{d}{dt} ψ^{\varepsilon}(t) =-Δψ^{\varepsilon}(t) + \frac{1}…