Strong coupling asymptotics for a singular Schroedinger operator with an interaction supported by an open arc

Pavel Exner, Konstantin Pankrashkin

We consider a singular Schrödinger operator in $L^2({\mathbb{R}}^2)$ written formally as $-\Delta -\beta \delta (x-\gamma )$ where $\gamma$ is a $C^4$ smooth open arc in ${\mathbb{R}}^2$ of length $L$ with regul…