Point spectrum on a continuous spectrum for weakly perturbed Stark type operators
For the Schrödinger operator of the type \(Hu=-u''+qu\) acting in \(L_2(\mathbb{R}_+)\) with decaying potential and some boundary condition at zero, the authors, in this paper, give some conditions under which the spectrum of \(H\) is continuous and certain weak perturbations of \(H\) have no eigenvalues in \(\mathbb{R}\).
scientific article; zbMATH DE number 923587
scientific article