Point spectrum on a continuous spectrum for weakly perturbed Stark type operators
type: Item
instance of: scholarly article
title: Point spectrum on a continuous spectrum for weakly perturbed Stark type operators
zbMATH Open document ID: 0871.47035
DOI: 10.1007/BF01077472
publication date: 1997-10-06T00:00:00Z
review text: For the Schrödinger operator of the type \(Hu=-u''+qu\) acting in \(L_2(\mathbb{R}_+)\) with decaying potential and some boundary condition at zero, the authors, in this paper, give some conditions under which the spectrum of \(H\) is continuous and certain weak perturbations of \(H\) have no eigenvalues in \(\mathbb{R}\).
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A55
zbMATH DE Number: 923587
zbMATH Keywords: continuous spectrum
zbMATH Keywords: eigenvalue
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: decaying potential
zbMATH Keywords: boundary condition
zbMATH Keywords: weak perturbations
author: Serguei Naboko
author: Alexander Pushnitski
reviewed by: Jinchuan Hou
MaRDI profile type: Publication
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published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 923587