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Spectral Properties of 2D Pauli Operators with Almost-Periodic Electromagnetic Fields

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBONY, Jean-Francois
dc.contributor.authorESPINOZA, Nicolás
hal.structure.identifierCatholic University of Chile [UC]
dc.contributor.authorRAIKOV, Georgi
dc.date.accessioned2024-04-04T02:48:06Z
dc.date.available2024-04-04T02:48:06Z
dc.date.issued2019
dc.identifier.issn0034-5318
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191705
dc.description.abstractEnWe consider a 2D Pauli operator with almost periodic field b and electric potential V. First, we study the ergodic properties of H and show, in particular, that its discrete spectrum is empty if there exists a magnetic potential which generates the magnetic field b − b0, b0 being the mean value of b. Next, we assume that V = 0, and investigate the zero modes of H. As expected, if b0 = 0, then generically dim Ker H = ∞. If b0 = 0, then for each m ∈ N ∪ {∞}, we construct almost periodic b such that dim Ker H = m. This construction depends strongly on results concerning the asymptotic behavior of Dirichlet series, also obtained in the present article.
dc.language.isoen
dc.publisherEuropean Mathematical Society
dc.subject.enPauli operators
dc.subject.enalmost periodic functions
dc.subject.energodic operator families
dc.subject.enzero modes
dc.subject.enasymptotics of Dirichlet series.
dc.title.enSpectral Properties of 2D Pauli Operators with Almost-Periodic Electromagnetic Fields
dc.typeArticle de revue
dc.identifier.doi10.4171/PRIMS/55-3-1
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Théorie spectrale [math.SP]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.subject.halMathématiques [math]/Probabilités [math.PR]
bordeaux.journalPublications of the Research Institute for Mathematical Sciences
bordeaux.page453-487
bordeaux.volume55
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02400076
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02400076v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Publications%20of%20the%20Research%20Institute%20for%20Mathematical%20Sciences&rft.date=2019&rft.volume=55&rft.issue=3&rft.spage=453-487&rft.epage=453-487&rft.eissn=0034-5318&rft.issn=0034-5318&rft.au=BONY,%20Jean-Francois&ESPINOZA,%20Nicol%C3%A1s&RAIKOV,%20Georgi&rft.genre=article


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