Michele Correggi, Davide Fermi
We show that the deficiency indices of magnetic Schrödinger operators with several local singularities can be computed in terms of the deficiency indices of operators carrying just one singularity each. We discuss some applications to physically relevant operators.
This paper contains 5 sections, 7 theorems, 67 equations.
Theorem 1.1
Let (H1) -- (H4) in ass hold. Let also $\left\{ \mathbf{A}_j \right\}_{j \in J}, \mathbf{A}_0$ be a family of real-valued magnetic potentials such that $\mathbf{A}_{j} \in L^{\infty}_{\mathrm{loc}}(\mathbb{R}^d \setminus \Xi_j; \mathbb{R}^d)$, $\nabla \cdot \mathbf{A}_{j} \in L^{\infty}_{\mathrm{loc Let $\dot{H}_j : = ( - i \nabla + \mathbf{A}_j )^2$ with domain $\mathscr{D}(\dot{H}_j) := C^{\inft
