Spectral properties of the Schrodinger operator with delta-distribution
Journal article, 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

Author

Medet Nursultanov

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Mathematical Notes of the Academy of Sciences of the USSR

0001-4346 (ISSN)

Vol. 100 1-2 263-275

Subject Categories

Mathematics

DOI

10.1134/s000143461607021x

More information

Created

10/7/2017