Three-dimensional magnetic Schrödinger operator with the potential supported in a tube

Diana Barseghyan, Juan Bory-Reyes, Baruch Schneider

In this paper, we study the following magnetic Schrödinger operator in ${\mathbb{R}}^3$: \[ H=(i \nabla +A)^2- \tilde{V}, \] where $\tilde{V}$ is non-negative potential supported ove…