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 1-2 263-275Subject Categories
Mathematics
DOI
10.1134/s000143461607021x