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Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields

dc.contributor.authorDIMASSI, Mouez
dc.contributor.authorKAWAMOTO, Masaki
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPETKOV, Vesselin
dc.date.accessioned2024-04-04T02:46:51Z
dc.date.available2024-04-04T02:46:51Z
dc.date.issued2021-06-30
dc.identifier.issn0129-055X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191592
dc.description.abstractEnIn 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.isoen
dc.publisherWorld Scientific Publishing
dc.subject.enCrossed magnetic and electric fields
dc.subject.enEmbedded eigenvalues
dc.title.enAbsence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields
dc.typeArticle de revue
dc.identifier.doi10.1142/S0129055X21500203
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxiv2003.02000
bordeaux.journalReviews in Mathematical Physics
bordeaux.page2150020
bordeaux.volume33
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03183314
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03183314v1
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