Spectral properties of the Schrödinger operator with \(\delta\)-distribution
The author investigates the one-dimensional Schrödinger operator with the purpose of establishing a criteria for the resolvent to belong to a given set of continuous operators. Such operators show up when the motion of neutrons in liquid media is studied. The two-sided estimates of the distribution function of the eigenvalues are obtained, resulting in a criteria for the discreteness of the spectrum for the Otelbaev function.
scientific article; zbMATH DE number 6682155
scientific article