Localization theorems for equality of minimal and maximal Schrödinger- type operators (Q1331651)

Consider the operators associated in \(L_ 2 (\mathbb{R}^ n)\) with \(\tau=- \text{div} (A(x)\cdot \text{grad})+ q(x)\) where \(q(x)\) is complex. The author proves localization theorems in the case of \(A(x) \geq 0\) and without a priori restrictions on the regularity field of the operator. The same approach for the operator with singular magnetic vector potential and real \(q(x)\) enables him to include \(q(x)\) with negative fall-off at infinity.