Complete nonselfadjointness for Schrödinger operators on the semi-axis
Complete nonselfadjointness for Schrödinger operators on the semi-axis
This note is devoted to the study of complete nonselfadjointness for all maximally dissipative extensions of a Schrödinger operator on a half-line with dissipative bounded potential and dissipative boundary condition. It is shown that all maximally dissipative extensions that preserve the differential expression are completely nonselfadjoint. However, it is possible …