Singular Dirac systems and Sturm-Liouville problems nonlinear in the spectral parameter
type: Item
instance of: scholarly article
title: Singular Dirac systems and Sturm-Liouville problems nonlinear in the spectral parameter
zbMATH Open document ID: 1012.34082
author: Harald Schmid
author: Christiane Tretter
published in: Journal of Differential Equations
publication date: 2002-09-08T00:00:00Z
review text: Here, the Dirac operator \[ H=-i\alpha \nabla +\beta+V \] acting in \(L^2(\mathbb{R}^3)^4\) with a spherically symmetric potential \(V\) is studied. Under certain additional assumptions on \(V\), the essential spectrum satisfies \(\sigma_{ess}(H)= \mathbb{R}\backslash (-1,1)\). The authors investigate whether the endpoints \(-1\) and \(1\) of the gap \((-1,1)\) are accumulation points of discrete eigenvalues.
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 34B07
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34B40
zbMATH DE Number: 1797551
zbMATH Keywords: quasi-derivative
zbMATH Keywords: oscillatory equation
zbMATH Keywords: fundamental matrix
zbMATH Keywords: singular Sturm-Liouville problem
zbMATH Keywords: accumulation point
zbMATH Keywords: essential spectrum
reviewed by: V. Pivovarchik
MaRDI profile type: Publication
full work available at URL: jdeq.2001.4082
OpenAlex ID: W2030678944
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DOI: 10.1006/JDEQ.2001.4082
description: scientific article; zbMATH DE number 1797551