Serveur d'exploration sur l'opéra

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

Semi classical analysis for perturbation of periodic operators

Identifieur interne : 000008 ( France/Analysis ); précédent : 000007; suivant : 000009

Semi classical analysis for perturbation of periodic operators

Auteurs : Youssef Sbai [France]

Source :

RBID : Hal:tel-01252851

Mots-clés :

Abstract

This Ph.D thesis deals with some spectral properties of two specific classes of two periodic operators. We are firstly interested in the model periodic perturbed by operator depending on a small semi-classical constant. We obtain an asymptotic behavior of the eigenvalue counting function in the spectral gaps with scharp remainder estimate. The second model studied in this thesis is a two-dimensional periodic elliptic second order opera-tor perturbed by operator depending on a large coupling constant. We also give the description of the counting function of eigenvalues when the coupling constant tends to infinity. The last part of this thesis highlights the study the spectrum of a Schrödinger operator perturbed by a fast oscillatingdecaying potential depending on a small parameter.


Url:


Affiliations:


Links toward previous steps (curation, corpus...)


Links to Exploration step

Hal:tel-01252851

Le document en format XML

<record>
<TEI>
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">Semi classical analysis for perturbation of periodic operators</title>
<title xml:lang="fr">Analyse semi-classique des opérateurs périodiques perturbés</title>
<author>
<name sortKey="Sbai, Youssef" sort="Sbai, Youssef" uniqKey="Sbai Y" first="Youssef" last="Sbai">Youssef Sbai</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-27730" status="VALID">
<orgName>Institut de Mathématiques de Bordeaux</orgName>
<orgName type="acronym">IMB</orgName>
<desc>
<address>
<addrLine>351 cours de la Libération 33405 TALENCE CEDEX</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.math.u-bordeaux.fr/IMB/</ref>
</desc>
<listRelation>
<relation active="#struct-91134" type="direct"></relation>
<relation active="#struct-92972" type="direct"></relation>
<relation name="UMR5251" active="#struct-441569" type="direct"></relation>
<relation active="#struct-259761" type="direct"></relation>
<relation active="#struct-409745" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-91134" type="direct">
<org type="institution" xml:id="struct-91134" status="OLD">
<orgName>Université Bordeaux Segalen - Bordeaux 2</orgName>
<desc>
<address>
<addrLine>146 rue Léo Saignat - 33076 Bordeaux cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-bordeauxsegalen.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-92972" type="direct">
<org type="institution" xml:id="struct-92972" status="OLD">
<orgName>Université Sciences et Technologies - Bordeaux 1</orgName>
<desc>
<address>
<addrLine>351 cours de la Libération - 33405 Talence cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.u-bordeaux1.fr</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR5251" active="#struct-441569" type="direct">
<org type="institution" xml:id="struct-441569" status="VALID">
<idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-259761" type="direct">
<org type="institution" xml:id="struct-259761" status="VALID">
<orgName>Université de Bordeaux</orgName>
<orgName type="acronym">UB</orgName>
<desc>
<address>
<addrLine>35, place Pey Berland - 33076 Bordeaux</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.u-bordeaux.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-409745" type="direct">
<org type="institution" xml:id="struct-409745" status="VALID">
<orgName>Bordeaux INP</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName>
<settlement type="city">Bordeaux</settlement>
<region type="region" nuts="2">Aquitaine</region>
</placeName>
<orgName type="university">Université de Bordeaux</orgName>
</affiliation>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">HAL</idno>
<idno type="RBID">Hal:tel-01252851</idno>
<idno type="halId">tel-01252851</idno>
<idno type="halUri">https://tel.archives-ouvertes.fr/tel-01252851</idno>
<idno type="url">https://tel.archives-ouvertes.fr/tel-01252851</idno>
<date when="2015-12-10">2015-12-10</date>
<idno type="wicri:Area/Hal/Corpus">000234</idno>
<idno type="wicri:Area/Hal/Curation">000234</idno>
<idno type="wicri:Area/Hal/Checkpoint">000003</idno>
<idno type="wicri:Area/Main/Merge">000054</idno>
<idno type="wicri:Area/Main/Curation">000054</idno>
<idno type="wicri:Area/Main/Exploration">000054</idno>
<idno type="wicri:Area/France/Extraction">000008</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title xml:lang="en">Semi classical analysis for perturbation of periodic operators</title>
<title xml:lang="fr">Analyse semi-classique des opérateurs périodiques perturbés</title>
<author>
<name sortKey="Sbai, Youssef" sort="Sbai, Youssef" uniqKey="Sbai Y" first="Youssef" last="Sbai">Youssef Sbai</name>
<affiliation wicri:level="1">
<hal:affiliation type="laboratory" xml:id="struct-27730" status="VALID">
<orgName>Institut de Mathématiques de Bordeaux</orgName>
<orgName type="acronym">IMB</orgName>
<desc>
<address>
<addrLine>351 cours de la Libération 33405 TALENCE CEDEX</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.math.u-bordeaux.fr/IMB/</ref>
</desc>
<listRelation>
<relation active="#struct-91134" type="direct"></relation>
<relation active="#struct-92972" type="direct"></relation>
<relation name="UMR5251" active="#struct-441569" type="direct"></relation>
<relation active="#struct-259761" type="direct"></relation>
<relation active="#struct-409745" type="direct"></relation>
</listRelation>
<tutelles>
<tutelle active="#struct-91134" type="direct">
<org type="institution" xml:id="struct-91134" status="OLD">
<orgName>Université Bordeaux Segalen - Bordeaux 2</orgName>
<desc>
<address>
<addrLine>146 rue Léo Saignat - 33076 Bordeaux cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-bordeauxsegalen.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-92972" type="direct">
<org type="institution" xml:id="struct-92972" status="OLD">
<orgName>Université Sciences et Technologies - Bordeaux 1</orgName>
<desc>
<address>
<addrLine>351 cours de la Libération - 33405 Talence cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.u-bordeaux1.fr</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR5251" active="#struct-441569" type="direct">
<org type="institution" xml:id="struct-441569" status="VALID">
<idno type="IdRef">02636817X</idno>
<idno type="ISNI">0000000122597504</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc>
<address>
<country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-259761" type="direct">
<org type="institution" xml:id="struct-259761" status="VALID">
<orgName>Université de Bordeaux</orgName>
<orgName type="acronym">UB</orgName>
<desc>
<address>
<addrLine>35, place Pey Berland - 33076 Bordeaux</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.u-bordeaux.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle active="#struct-409745" type="direct">
<org type="institution" xml:id="struct-409745" status="VALID">
<orgName>Bordeaux INP</orgName>
<desc>
<address>
<country key="FR"></country>
</address>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName>
<settlement type="city">Bordeaux</settlement>
<region type="region" nuts="2">Aquitaine</region>
</placeName>
<orgName type="university">Université de Bordeaux</orgName>
</affiliation>
</author>
</analytic>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="mix" xml:lang="en">
<term>Asymptotic expansions</term>
<term>Density of state</term>
<term>Eigenvalues distribution</term>
<term>Large coupling constant</term>
<term>Magnetic fields</term>
<term>Oscillating decaying potentials</term>
<term>Periodic operator</term>
<term>Semi-Classicall limit</term>
</keywords>
<keywords scheme="mix" xml:lang="fr">
<term>Champs magnétiques</term>
<term>Densité d'états</term>
<term>Distribution des valeurs propres</term>
<term>Développements asymptotiques</term>
<term>Grandes constantes de couplage</term>
<term>Limite semi-Classique</term>
<term>Opérateur périodique</term>
<term>Potentiel trés oscillents</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">This Ph.D thesis deals with some spectral properties of two specific classes of two periodic operators. We are firstly interested in the model periodic perturbed by operator depending on a small semi-classical constant. We obtain an asymptotic behavior of the eigenvalue counting function in the spectral gaps with scharp remainder estimate. The second model studied in this thesis is a two-dimensional periodic elliptic second order opera-tor perturbed by operator depending on a large coupling constant. We also give the description of the counting function of eigenvalues when the coupling constant tends to infinity. The last part of this thesis highlights the study the spectrum of a Schrödinger operator perturbed by a fast oscillatingdecaying potential depending on a small parameter.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>France</li>
</country>
<region>
<li>Aquitaine</li>
</region>
<settlement>
<li>Bordeaux</li>
</settlement>
<orgName>
<li>Université de Bordeaux</li>
</orgName>
</list>
<tree>
<country name="France">
<region name="Aquitaine">
<name sortKey="Sbai, Youssef" sort="Sbai, Youssef" uniqKey="Sbai Y" first="Youssef" last="Sbai">Youssef Sbai</name>
</region>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Musique/corpus/OperaV1/Data/France/Analysis
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000008 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Musique
   |area=    OperaV1
   |flux=    France
   |étape=   Analysis
   |type=    RBID
   |clé=     Hal:tel-01252851
   |texte=   Semi classical analysis for perturbation of periodic operators
}}

Wicri

This area was generated with Dilib version V0.6.21.
Data generation: Thu Apr 14 14:59:05 2016. Site generation: Wed Aug 16 22:49:51 2017