On the eigenvalues of the Dirac operator
type: Item
instance of: scholarly article
title: On the eigenvalues of the Dirac operator
zbMATH Open document ID: 0961.34075
DOI: 10.1007/BF02676676
author: D. S. Krutikov
published in: Mathematical Notes
publication date: 2000-11-16T00:00:00Z
review text: \textit{A. Kiselev, Y. Last} and \textit{B. Simon} [Commun. Math. Phys. 194, No. 1, 1-45 (1998; Zbl 0912.34074)] have proved that a one-dimensional Schrödinger operator with potential of Coulomb type decay can have only countably many positive eigenvalues, with zero being the only possible accumulation point. The paper under review presents the analogous result for Dirac operators.
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34L20
zbMATH DE Number: 1531320
zbMATH Keywords: Dirac operator
zbMATH Keywords: eigenvalues
reviewed by: Christian Remling
MaRDI profile type: Publication
cites work: Spectral theory of ordinary differential operators
cites work: Relationships between the \(m\)-function and subordinate solutions of second order differential operators
cites work: Dense point spectra of Schrödinger and Dirac operators
cites work: Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
Wikidata QID: Q126211111
full work available at URL: https://doi.org/10.1007/bf02676676
OpenAlex ID: W2035745393
description: scientific article; zbMATH DE number 1531320