The absence of absolutely continuous spectra of 1-dimensional Schrödinger operators
The author considers the one-dimensional Schrödinger equation with a bounded potential satisfying certain conditions. Using the results of \textit{B. Simon} and \textit{T. Spencer} [Commun. Math. Phys. 125, No. 1, 113- 125 (1989; Zbl 0684.47010)], it is shown that the corresponding Hamiltonian does not have any negative absolutely continuous spectrum.
scientific article; zbMATH DE number 701495