Spectral Properties of 2D Pauli Operators with Almost-Periodic Electromagnetic Fields
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONY, Jean-Francois | |
| dc.contributor.author | ESPINOZA, Nicolás | |
| hal.structure.identifier | Catholic University of Chile [UC] | |
| dc.contributor.author | RAIKOV, Georgi | |
| dc.date.accessioned | 2024-04-04T02:48:06Z | |
| dc.date.available | 2024-04-04T02:48:06Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 0034-5318 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191705 | |
| dc.description.abstractEn | We 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.iso | en | |
| dc.publisher | European Mathematical Society | |
| dc.subject.en | Pauli operators | |
| dc.subject.en | almost periodic functions | |
| dc.subject.en | ergodic operator families | |
| dc.subject.en | zero modes | |
| dc.subject.en | asymptotics of Dirichlet series. | |
| dc.title.en | Spectral Properties of 2D Pauli Operators with Almost-Periodic Electromagnetic Fields | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4171/PRIMS/55-3-1 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| bordeaux.journal | Publications of the Research Institute for Mathematical Sciences | |
| bordeaux.page | 453-487 | |
| bordeaux.volume | 55 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02400076 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02400076v1 | |
| bordeaux.COinS | ctx_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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