Spectral properties of the Schrödinger operator with \(\delta\)-distribution
type: Item
instance of: scholarly article
title: Spectral properties of the Schrödinger operator with \(\delta\)-distribution
zbMATH Open document ID: 1385.34063
DOI: 10.1134/S000143461607021X
author: Yong-Cai Geng
author: Sumit K. Garg
published in: Mathematical Notes
publication date: 2017-02-08T00:00:00Z
review text: 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.
reviewed by: Shlomo Carmi
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 6682155
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: Otelbaev function
zbMATH Keywords: distribution functions of eigenvalues
MaRDI profile type: Publication
cites work: Q5763794
cites work: Q3160268
cites work: Q5726865
cites work: Q3755846
cites work: A discreteness criterion for the spectrum of a one-dimensional Schrödinger operator with \(\delta\)-interactions
cites work: Sturm-Liouville operators with singular potentials
cites work: Q4656592
cites work: The band structure of the general periodic Schrödinger operator with point interactions
cites work: Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set
cites work: One-dimensional Schrödinger operator with \(\delta\)-interactions
cites work: 1-D Schrödinger operators with local point interactions on a discrete set
cites work: Spectral asymptotics for the Sturm-Liouville operator with point interaction
cites work: 1-D Schr\"odinger operators with local point interactions: a review
cites work: Singular Sturm-Liouville operators with distribution potentials
cites work: Well-posed problems for the Laplace operator in a punctured disk
cites work: Q4112242
cites work: Q3993420
cites work: Q3278549
full work available at URL: s000143461607021x
OpenAlex ID: W2508011334
description: scientific article; zbMATH DE number 6682155