Schrödinger operators with singular complex potentials as generators: Existence and stability
For an operator \(H\) associated with the Dirichlet form and a complex locally integrable \(V\) with negative real part in the Kato class an extension of \(H+V\) which generates a \(C_0\)-semigroup on \(L^p\) for \(p\in[1,\infty)\) is constructed. The continuity of the semigroup with respect to \(V\) is proved.
Schrödinger operators with singular complex potentials
scientific article; zbMATH DE number 1445553