A magnetic version of the Smilansky-Solomyak model

Diana Barseghyan, Pavel Exner

We analyze spectral properties of two mutually related families of magnetic Schrödinger operators, $H_{\mathrm{Sm}}(A)=(i\nabla +A{)}^2+{\omega }^2{y}^2+\lambda y\delta (x)$ and $H(A)=(i \nabla +A)^2+ω^…