On a domain characterization of schrodinger operators with gradient magnetic vector potentials and singular potentials


Of concern are the minimal and maximal operators on L2(Rn) associated with the differential expression where (q, …, qn) = grad Q for some real function W on Rn and W satisfies. In particular, for Q = 0, Xq reduces to the singular Schrödinger operator -Ζ+ W(x). Among other results, it is shown that the maximal operator (associated with the xq ) is the closure of the minimal operator, and its domain is precisely. © 1989 American Mathematical Society.

Publication Title

Proceedings of the American Mathematical Society