Scattering from local deformations of a semitransparent plane

Claudio Cacciapuoti, Davide Fermi, Andrea Posilicano

We study scattering for the couple $(A_F,A_0)$ of Schrödinger operators in $L^2({\mathbb{R}}^3)$ formally defined as $A_0=-\Delta +\alpha {\delta }_{{\pi }_0}$ and $A_F=-\Delta +\alpha {\delta }_{{\pi }_F}$, $\alpha >0$, w…