Asymptotics Near +/- m of the Spectral Shift Function for Dirac Operators with Non-Constant Magnetic Fields

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dc.contributor.authorTiedra de Aldecoa, Rafael
dc.date.accessioned2024-01-10T13:46:12Z
dc.date.available2024-01-10T13:46:12Z
dc.date.issued2011
dc.description.abstractWe consider a 3-dimensional Dirac operator H0 with non-constant magnetic field of constant direction, perturbed by a sign-definite matrix-valued potential V decaying fast enough at infinity. Then we determine asymptotics, as the energy goes to +m and -m, of the spectral shift function for the pair (H0+V, H0). We obtain, as a by-product, a generalized version of Levinson's Theorem relating the eigenvalues asymptotics of H0+V near +m and -m to the scattering phase shift for the pair (H0+V, H0).
dc.description.funderFondecyt
dc.description.funderIniciativa Cientifica Milenio
dc.fechaingreso.objetodigital2024-05-08
dc.format.extent32 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1080/03605301003758369
dc.identifier.eissn1532-4133
dc.identifier.issn0360-5302
dc.identifier.urihttps://doi.org/10.1080/03605301003758369
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79133
dc.identifier.wosidWOS:000284474100002
dc.information.autorucMatemática;de Aldecoa RT;S/I;1007442
dc.issue.numero1
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final41
dc.pagina.inicio10
dc.publisherTAYLOR & FRANCIS INC
dc.revistaCOMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
dc.rightsacceso restringido
dc.subjectDirac operator
dc.subjectMagnetic field
dc.subjectSpectral shift function
dc.subjectLIMITING ABSORPTION PRINCIPLE
dc.subjectDENSITY-OF-STATES
dc.subjectSCHRODINGER-OPERATORS
dc.subjectPERTURBATIONS
dc.subjectFINITENESS
dc.subjectUNIQUENESS
dc.subject.ods04 Quality Education
dc.subject.odspa04 Educación y calidad
dc.titleAsymptotics Near +/- m of the Spectral Shift Function for Dirac Operators with Non-Constant Magnetic Fields
dc.typeartículo
dc.volumen36
sipa.codpersvinculados1007442
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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