A criterion for the existence of zero modes for the Pauli operator with fastly decaying fields

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dc.contributor.authorBenguria, R. D.
dc.contributor.authorVan Den Bosch, H.
dc.date.accessioned2024-01-10T13:10:51Z
dc.date.available2024-01-10T13:10:51Z
dc.date.issued2015
dc.description.abstractWe consider the Pauli operator in R-3 for magnetic fields in L-3/2 that decay at infinity as vertical bar x vertical bar(-2-beta) with beta > 0. In this case, we are able to prove that the existence of a zero mode for this operator is equivalent to a quantity delta(B), defined below, being equal to zero. Complementing a result from Balinsky et al. [J. Phys. A: Math. Gen. 34, L19-L23 (2001)], this implies that for the class of magnetic fields considered, Sobolev, Hardy, and Cwikel, Lieb, Rosenblum (CLR) inequalities hold whenever the magnetic field has no zero mode. (C) 2015 AIP Publishing LLC.
dc.description.funderFondecyt (Chile)
dc.description.funderIniciativa Cientifica Milenio (Chile) through the Millenium Nucleus
dc.description.funderConicyt (Chile) through CONICYT-PCHA/Doctorado Nacional
dc.description.funderBeca Ayudante de VRI
dc.fechaingreso.objetodigital2024-04-30
dc.format.extent7 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1063/1.4920924
dc.identifier.eissn1089-7658
dc.identifier.issn0022-2488
dc.identifier.urihttps://doi.org/10.1063/1.4920924
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77948
dc.identifier.wosidWOS:000355920800015
dc.information.autorucFísica;Benguria R;S/I;99598
dc.information.autorucFísica;Van Den Bosch H;S/I;230450
dc.issue.numero5
dc.language.isoen
dc.nota.accesoSin adjunto
dc.publisherAMER INST PHYSICS
dc.revistaJOURNAL OF MATHEMATICAL PHYSICS
dc.rightsregistro bibliográfico
dc.subjectMAGNETIC-FIELDS
dc.subjectCOULOMB-SYSTEMS
dc.subjectBOUND-STATES
dc.subjectSTABILITY
dc.subjectR-3
dc.subject.ods04 Quality Education
dc.subject.odspa04 Educación y calidad
dc.titleA criterion for the existence of zero modes for the Pauli operator with fastly decaying fields
dc.typeartículo
dc.volumen56
sipa.codpersvinculados99598
sipa.codpersvinculados230450
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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