Scattering on leaky wires in dimension three

Pavel Exner, Sylwia Kondej

We consider the scattering problem for a class of strongly singular Schrödinger operators in $L^2(\mathbb{R}{R}^3)$ which can be formally written as $H_{\alpha ,\Gamma }=-\Delta +{\delta }_{\alpha }(x-\Gamma )$ where $α\…