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

point interactions

Schrodinger operator

discreteness of the spectrum of the Schrodinger operator

Författare

Medet Nursultanov

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Mathematical Notes of the Academy of Sciences of the USSR

0001-4346 (ISSN)

Vol. 100 1-2 263-275

Ämneskategorier

Matematik

DOI

10.1134/s000143461607021x