Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in R3
Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in R3
We consider Schr\"odinger operators in $L^2(\mathbb{R}^3)$ with a singular interaction supported by a finite curve $\Gamma$. We present a proper definition of the operators and study their properties, in particular, we show that the discrete spectrum can be empty if $\Gamma$ is short enough. If it is not the case, …