Bound states due to a strong $\delta$ interaction supported by a curved surface

Pavel Exner, Sylwia Kondej

We study the Schrödinger operator $-\Delta -\alpha \delta (x-\Gamma )$ in $L^2({\mathbb{R}}^3)$ with a $\delta$ interaction supported by an infinite non-planar surface $\Gamma$ which is smooth, admits a global normal paramet…