Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operators

Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operators

We consider a perturbation of a periodic Shrodinger operator $P_0$ by a potential $W(hx)$, $(hsearrow 0)$. We study singularities of the density of states measure and we obtain lower bound for the counting function of resonances.

Bibliographic Details
Main Authors: Hamadi Baklouti, Maher Mnif
Format: Article
Language:English
Published: Texas State University 2006-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Resonances
perturbations
periodic Schrodinger operators.
Online Access:http://ejde.math.txstate.edu/Volumes/2006/60/abstr.html
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spelling doaj-acdec3d777a7425199a2cac681bcc3122020-11-25T00:15:35ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-05-01200660111Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operatorsHamadi BakloutiMaher MnifWe consider a perturbation of a periodic Shrodinger operator $P_0$ by a potential $W(hx)$, $(hsearrow 0)$. We study singularities of the density of states measure and we obtain lower bound for the counting function of resonances.http://ejde.math.txstate.edu/Volumes/2006/60/abstr.htmlResonancesperturbationsperiodic Schrodinger operators.
collection DOAJ
language English
format Article
sources DOAJ
author Hamadi Baklouti
Maher Mnif
spellingShingle Hamadi Baklouti
Maher Mnif
Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operators
Electronic Journal of Differential Equations
Resonances
perturbations
periodic Schrodinger operators.
author_facet Hamadi Baklouti
Maher Mnif
author_sort Hamadi Baklouti
title Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operators
title_short Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operators
title_full Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operators
title_fullStr Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operators
title_full_unstemmed Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrodinger operators
title_sort resonances generated by analytic singularities on the density of states measure for perturbed periodic schrodinger operators
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2006-05-01
description We consider a perturbation of a periodic Shrodinger operator $P_0$ by a potential $W(hx)$, $(hsearrow 0)$. We study singularities of the density of states measure and we obtain lower bound for the counting function of resonances.
topic Resonances
perturbations
periodic Schrodinger operators.
url http://ejde.math.txstate.edu/Volumes/2006/60/abstr.html
work_keys_str_mv AT hamadibaklouti resonancesgeneratedbyanalyticsingularitiesonthedensityofstatesmeasureforperturbedperiodicschrodingeroperators
AT mahermnif resonancesgeneratedbyanalyticsingularitiesonthedensityofstatesmeasureforperturbedperiodicschrodingeroperators
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