Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DIMASSI, Mouez | |
| dc.contributor.author | KAWAMOTO, Masaki | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PETKOV, Vesselin | |
| dc.date.accessioned | 2024-04-04T02:55:16Z | |
| dc.date.available | 2024-04-04T02:55:16Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192347 | |
| dc.description.abstractEn | In the presence of the homogeneous electric field and the homogeneous perpendicular magnetic field, the classical trajectory of a quantum particle on ${\mathbb R}^2$ moves with drift velocity which is perpendiculars to the electric and magnetic fields. For such Hamiltonians the absence of the embedded eigenvalues of perturbed Hamiltonian has been conjectured. In this paper one proves this conjecture for the perturbations which have sufficiently small support in direction of drift velocity. | |
| dc.language.iso | en | |
| dc.title.en | Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 2003.02000 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-02508562 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02508562v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DIMASSI,%20Mouez&KAWAMOTO,%20Masaki&PETKOV,%20Vesselin&rft.genre=preprint |
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