A criterion for the existence of nonreal eigenvalues for a Dirac operator

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dc.contributor.authorSambou, Diomba
dc.date.accessioned2025-01-23T21:29:14Z
dc.date.available2025-01-23T21:29:14Z
dc.date.issued2016
dc.description.abstractThe aim of this work is to explore the discrete spectrum generated by complex perturbations in L-2 (R-3, C-4) of the 3d Dirac operator
dc.description.abstractalpha center dot(-i del - A) + m beta
dc.description.abstractwith variable magnetic field. Here, alpha := (alpha(1), alpha(2), alpha(3)) and beta are 4 x 4 Dirac matrices, and m > 0 is the mass of a particle. We give a simple criterion for the potentials to generate discrete spectrum near m. In case of creation of nonreal eigenvalues, this criterion gives also their location.
dc.description.funderChilean Program Nucleo Milenio de Fisica Matematica
dc.fuente.origenWOS
dc.identifier.issn1076-9803
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101426
dc.identifier.wosidWOS:000380190800001
dc.language.isoen
dc.pagina.final500
dc.pagina.inicio469
dc.revistaNew york journal of mathematics
dc.rightsacceso restringido
dc.subjectDirac operators
dc.subjectcomplex perturbations
dc.subjectdiscrete spectrum
dc.subjectnonreal eigenvalues
dc.titleA criterion for the existence of nonreal eigenvalues for a Dirac operator
dc.typeartículo
dc.volumen22
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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