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Journal of Mathematical Physics
Article
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arXiv.org e-Print Archive
Preprint . 2012
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Journal of Mathematical Physics
Article . 2013 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2012
License: arXiv Non-Exclusive Distribution
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Journal of Mathematical Physics
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https://arxiv.org/abs/1211.547...
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Self-adjoint extensions of Dirac operators with Coulomb type singularity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Apr 2013Embargo end date: 01 Jan 2012 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 54 (issn: 0022-2488, eissn: 1089-7658, Copyright policy )
Authors: Javier Duoandikoetxea; Naiara Arrizabalaga; Luis Vega;

doi: 10.1063/1.4798804 , 10.48550/arxiv.1211.5476

arXiv: http://arxiv.org/abs/1211.5476

Self-adjoint extensions of Dirac operators with Coulomb type singularity

Abstract

In this work we construct self-adjoint extensions of the Dirac operator associated to Hermitian matrix potentials with Coulomb decay and prove that the domain is maximal. The result is obtained by means of a Hardy-Dirac type inequality. In particular, we can work with some electromagnetic potentials such that both, the electric potential and the magnetic one, have Coulomb type singularity.

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Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Average
Green
bronze