Spectral properties of the Schrodinger operator with delta-distribution
Artikel i vetenskaplig tidskrift, 2016
For the one-dimensional Schrodinger operator with delta-interactions, two-sided estimates of the distribution function of the eigenvalues and a criterion for the discreteness of the spectrum in terms of the Otelbaev function are obtained. A criterion for the resolvent of the Schrodinger operator to belong to the class S (p) is established.
semiboundedness below of the distribution functions of eigenvalues
discreteness of the spectrum of the Schrodinger operator