A theory on perturbations of the Dirac operator
type: Item
instance of: scholarly article
title: A theory on perturbations of the Dirac operator
zbMATH Open document ID: 0940.47009
DOI: 10.1155/S1025583499000284
author: Suzanne Collier Melescue
published in: Journal of Inequalities and Applications
publication date: 2000-01-11T00:00:00Z
full work available at URL: https://eudml.org/doc/120411
review text: The author considers perturbations of the first order differential operator with \(2\times 2\) matrix coefficients (the Dirac operator) which has one singular point that is allowed to be either zero or infinity. Using unitary transformations he gives for limit point type operators and limit circle type operators necessary and sufficient conditions for the perturbations to be relatively bounded or relatively compact with respect to the Dirac operator.
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 1374887
zbMATH Keywords: Dirac operator
zbMATH Keywords: perturbation
zbMATH Keywords: relative boundedness
zbMATH Keywords: relative compactness
zbMATH Keywords: maximal and minimal operators
zbMATH Keywords: unitary transformations
zbMATH Keywords: limit point type operators
zbMATH Keywords: limit circle type operators
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
OpenAlex ID: W2066198267
Recommended article: Perturbations of Dirac operators
Recommended article: On the perturbation of the Dirac operator by a finite difference operator
Recommended article: Comparison of perturbed Dirac operators
Recommended article: Q3023228
Recommended article: On perturbed two-dimensional Dirac operators
Recommended article: Finite-rank perturbations of the Dirac operator
Recommended article: A perturbative approach to Dirac observables and their spacetime algebra
Recommended article: Perturbation theory for the Dirac equation in two-dimensional space
Recommended article: Q5751456
Recommended article: Q3839241
description: scientific article; zbMATH DE number 1374887