Inverse problem for Sturm-Liouville operators with Coulomb potential which have discontinuity conditions inside an interval
type: Item
instance of: scholarly article
title: Inverse problem for Sturm-Liouville operators with Coulomb potential which have discontinuity conditions inside an interval
zbMATH Open document ID: 1203.34013
author: Nilifer Topsakal
author: Rauf Kh. Amırov
published in: Mathematical Physics, Analysis and Geometry
publication date: 2010-04-28T00:00:00Z
review text: The authors examine the inverse spectral problem related to the singular Sturm-Liouville problem defined by \[ -y^{\prime \prime }(x)+\frac{c}{x}y(x)+q(x)y(x), \] where \(x\in (0,\pi ]\) and boundary conditions \(y(0)=y(\pi )=0\) and a jump condition \[ y(d+0)=\alpha y(d-0)\quad\text{ and }\quad y^{\prime }(d+0)=1/\alpha y^{\prime }(d-0). \] They work out the asymptotic behavior of eigenvalues and prove that the Weyl function is enough to determine the operator uniquely.
reviewed by: Amin Boumenir
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L20
zbMATH DE Number: 5702531
zbMATH Keywords: Coulomb potential
zbMATH Keywords: Singular Sturm Liouville problem
zbMATH Keywords: Weyl functions
MaRDI profile type: Publication
full work available at URL: s11040-009-9066-y
OpenAlex ID: W2015688812
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DOI: 10.1007/S11040-009-9066-Y
description: scientific article; zbMATH DE number 5702531