Magnetic Laplacian in sharp three dimensional cones
| hal.structure.identifier | Département de Mathématiques et Applications - ENS Paris [DMA] | |
| dc.contributor.author | BONNAILLIE-NOËL, Virginie | |
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| dc.contributor.author | DAUGE, Monique | |
| hal.structure.identifier | Équipe EDP et Physique Mathématique | |
| dc.contributor.author | POPOFF, Nicolas | |
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| dc.contributor.author | RAYMOND, Nicolas | |
| dc.date.accessioned | 2024-04-04T03:15:02Z | |
| dc.date.available | 2024-04-04T03:15:02Z | |
| dc.date.issued | 2016 | |
| dc.identifier.isbn | 978-3-319-29992-1 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194117 | |
| dc.description.abstractEn | The core result of this paper is an upper bound for the ground state energyof the magnetic Laplacian with constant magnetic field on cones that are contained in ahalf-space. This bound involves a weighted norm of the magnetic field related to momentson a plane section of the cone. When the cone is sharp, i.e. when its section is small, thisupper bound tends to 0. A lower bound on the essential spectrum is proved for familiesof sharp cones, implying that if the section is small enough the ground state energy is aneigenvalue. This circumstance produces corner concentration in the semi-classical limit forthe magnetic Schrödinger operator when such sharp cones are involved. | |
| dc.description.sponsorship | Opérateurs non-autoadjoints, analyse semiclassique et problèmes d'évolution - ANR-11-BS01-0019 | |
| dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
| dc.language.iso | en | |
| dc.publisher | Birkhäuser/Springer | |
| dc.source.title | Operator Theory Advances and Application | |
| dc.title.en | Magnetic Laplacian in sharp three dimensional cones | |
| dc.type | Chapitre d'ouvrage | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1505.03033 | |
| bordeaux.page | 37-56 | |
| bordeaux.volume | 254 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.title.proceeding | Operator Theory Advances and Application | |
| hal.identifier | hal-01151155 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01151155v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Operator%20Theory%20Advances%20and%20Application&rft.date=2016&rft.volume=254&rft.spage=37-56&rft.epage=37-56&rft.au=BONNAILLIE-NO%C3%8BL,%20Virginie&DAUGE,%20Monique&POPOFF,%20Nicolas&RAYMOND,%20Nicolas&rft.isbn=978-3-319-29992-1&rft.genre=unknown |
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