Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields
| 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 | 2024-04-04T02:46:51Z | |
| dc.date.available | 2024-04-04T02:46:51Z | |
| dc.date.issued | 2021-06-30 | |
| dc.identifier.issn | 0129-055X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191592 | |
| dc.description.abstractEn | In the presence of the homogeneous electric field ${\bf E}$ and the homogeneous perpendicular magnetic field ${\bf B}$, the classical trajectory of a quantum particle on ${\mathbb R}^2$ moves with drift velocity $\alpha$ which is perpendicular 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 $V(x, y)$ which have sufficiently small support in direction of drift velocity. | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.subject.en | Crossed magnetic and electric fields | |
| dc.subject.en | Embedded eigenvalues | |
| dc.title.en | Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1142/S0129055X21500203 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 2003.02000 | |
| bordeaux.journal | Reviews in Mathematical Physics | |
| bordeaux.page | 2150020 | |
| bordeaux.volume | 33 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 6 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03183314 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03183314v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Reviews%20in%20Mathematical%20Physics&rft.date=2021-06-30&rft.volume=33&rft.issue=6&rft.spage=2150020&rft.epage=2150020&rft.eissn=0129-055X&rft.issn=0129-055X&rft.au=DIMASSI,%20Mouez&KAWAMOTO,%20Masaki&PETKOV,%20Vesselin&rft.genre=article |
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