Mostrar el registro sencillo del ítem

Spectral shift function for operators with crossed magnetic and electric fields

hal.structure.identifierLaboratoire Analyse, Géométrie et Applications [LAGA]
dc.contributor.authorDIMASSI, Mouez
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPETKOV, Vesselin
dc.date.accessioned2024-04-04T02:29:11Z
dc.date.available2024-04-04T02:29:11Z
dc.date.created2010-01-05
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190154
dc.description.abstractEnWe obtain a representation formula for the derivative of the spectral shift function $\xi(\lambda; B, \epsilon)$ related to the operators $H_0(B,\epsilon) = (D_x - By)^2 + D_y^2 + \epsilon x$ and $H(B, \epsilon) = H_0(B, \epsilon) + V(x,y), \: B > 0, \epsilon > 0$. We establish a limiting absorption principle for $H(B, \epsilon)$ and an estimate ${\mathcal O}(\epsilon^{n-2})$ for $\xi'(\lambda; B, \epsilon)$, provided $\lambda \notin \sigma(Q)$, where $Q = (D_x - By)^2 + D_y^2 + V(x,y).$
dc.description.sponsorshipAnalyse spectrale et microlocale d'opérateurs non-autoadjoints - ANR-08-BLAN-0228
dc.language.isoen
dc.subject.enmagnetic potential
dc.subject.enStark operator
dc.subject.enspectral shift function
dc.title.enSpectral shift function for operators with crossed magnetic and electric fields
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.subject.halPhysique [physics]/Physique mathématique [math-ph]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00469471
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00469471v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DIMASSI,%20Mouez&PETKOV,%20Vesselin&rft.genre=preprint


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem