Spectral shift function for operators with crossed magnetic and electric fields
hal.structure.identifier | Laboratoire Analyse, Géométrie et Applications [LAGA] | |
dc.contributor.author | DIMASSI, Mouez | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | PETKOV, Vesselin | |
dc.date.accessioned | 2024-04-04T02:29:11Z | |
dc.date.available | 2024-04-04T02:29:11Z | |
dc.date.created | 2010-01-05 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190154 | |
dc.description.abstractEn | We 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.sponsorship | Analyse spectrale et microlocale d'opérateurs non-autoadjoints - ANR-08-BLAN-0228 | |
dc.language.iso | en | |
dc.subject.en | magnetic potential | |
dc.subject.en | Stark operator | |
dc.subject.en | spectral shift function | |
dc.title.en | Spectral shift function for operators 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.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
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-00469471 | |
hal.version | 1 | |
hal.audience | Non spécifiée | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00469471v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DIMASSI,%20Mouez&PETKOV,%20Vesselin&rft.genre=preprint |
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