Boutet de MonvelBerthier, Anne 1948
Overview
Works:  67 works in 180 publications in 2 languages and 2,282 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Thesis advisor, Other 
Classifications:  QC174.5, 530.124 
Publication Timeline
.
Most widely held works by
Anne Boutet de MonvelBerthier
C₀groups, commutator methods, and spectral theory of NBody Hamiltonians by
Werner O Amrein(
Book
)
24 editions published between 1996 and 2013 in English and held by 248 WorldCat member libraries worldwide
The conjugate operator method is a powerful recently develop ed technique for studying spectral properties of selfadjoint operators. One of the purposes of this volume is to present a refinement of the original method due to Mourre leading to essentially optimal results in situations as varied as ordinary differential operators, pseudodifferential operators and N body Schrödinger hamiltonians. Another topic is a new algeb raic framework for the Nbody problem allowing a simple and systematic treatment of large classes of manychannel hamil tonians. The monograph will be of interest to research mathematicians and mathematical physicists. The authors have made efforts to produce an essentially selfcontained text, which makes it accessible to advanced students. Thus about one third of the book is devoted to the development of tools from functional analysis, in particular real interpolation theory for Banach spaces and functional calculus and Besov spaces associated with multiparameter C0groups
24 editions published between 1996 and 2013 in English and held by 248 WorldCat member libraries worldwide
The conjugate operator method is a powerful recently develop ed technique for studying spectral properties of selfadjoint operators. One of the purposes of this volume is to present a refinement of the original method due to Mourre leading to essentially optimal results in situations as varied as ordinary differential operators, pseudodifferential operators and N body Schrödinger hamiltonians. Another topic is a new algeb raic framework for the Nbody problem allowing a simple and systematic treatment of large classes of manychannel hamil tonians. The monograph will be of interest to research mathematicians and mathematical physicists. The authors have made efforts to produce an essentially selfcontained text, which makes it accessible to advanced students. Thus about one third of the book is devoted to the development of tools from functional analysis, in particular real interpolation theory for Banach spaces and functional calculus and Besov spaces associated with multiparameter C0groups
Hardy type inequalities for abstract differential operators by
Werner O Amrein(
Book
)
11 editions published in 1987 in English and held by 229 WorldCat member libraries worldwide
11 editions published in 1987 in English and held by 229 WorldCat member libraries worldwide
Rigorous quantum field theory : a Festschrift for Jacques Bros by
Anne Boutet de MonvelBerthier(
Book
)
21 editions published between 2006 and 2007 in English and held by 203 WorldCat member libraries worldwide
Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous fundamental contributions. This book arose from an international symposium held in honour of Jacques Bros on the occasion of his 70th birthday, at the Department of Theoretical Physics of the CEA in Saclay, France. The impact of the work of Jacques Bros is evident in several articles in this book. Quantum fields are regarded as genuine mathematical objects, whose various properties and relevant physical interpretations must be studied in a welldefined mathematical framework. The key topics in this volume include analytic structures of Quantum Field Theory (QFT), renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime. Contributors: D. Bahns, M. Bertola, R. Brunetti, D. Buchholz, A. Connes, F. Corbetta, S. Doplicher, M. DuboisViolette, M. Dütsch, H. Epstein, C.J. Fewster, K. Fredenhagen, C. Gérard, D. Iagolnitzer, C.D. Jäkel, C. Kopper, G. Lechner, G. Morchio, U. Moschella, J. Mund, H. Narnhofer, G. Piacitelli, K.H. Rehren, P.L. Ribeiro, V. Rivasseau, J.E. Roberts, B. Schroer, O. Steinmann, F. Strocchi, G.A. Viano, F. VignesTourneret
21 editions published between 2006 and 2007 in English and held by 203 WorldCat member libraries worldwide
Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous fundamental contributions. This book arose from an international symposium held in honour of Jacques Bros on the occasion of his 70th birthday, at the Department of Theoretical Physics of the CEA in Saclay, France. The impact of the work of Jacques Bros is evident in several articles in this book. Quantum fields are regarded as genuine mathematical objects, whose various properties and relevant physical interpretations must be studied in a welldefined mathematical framework. The key topics in this volume include analytic structures of Quantum Field Theory (QFT), renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime. Contributors: D. Bahns, M. Bertola, R. Brunetti, D. Buchholz, A. Connes, F. Corbetta, S. Doplicher, M. DuboisViolette, M. Dütsch, H. Epstein, C.J. Fewster, K. Fredenhagen, C. Gérard, D. Iagolnitzer, C.D. Jäkel, C. Kopper, G. Lechner, G. Morchio, U. Moschella, J. Mund, H. Narnhofer, G. Piacitelli, K.H. Rehren, P.L. Ribeiro, V. Rivasseau, J.E. Roberts, B. Schroer, O. Steinmann, F. Strocchi, G.A. Viano, F. VignesTourneret
Recent developments in quantum mechanics : proceedings of the Braşov Conference, Poiana Braşov 1989, Romania by
Anne Boutet de MonvelBerthier(
Book
)
9 editions published between 1989 and 1991 in English and held by 131 WorldCat member libraries worldwide
9 editions published between 1989 and 1991 in English and held by 131 WorldCat member libraries worldwide
Spin glasses : statics and dynamics, Summer School, Paris 2007 by
Anne Boutet de MonvelBerthier(
Book
)
20 editions published in 2009 in English and held by 108 WorldCat member libraries worldwide
This book contains a collection of texts ranging from a basic introduction to the mathematical theory of spin glasses to stateoftheart reports on current research, written by leading experts in the field. It provides a unique single reference volume that will guide the novice into the field and present an overview of recent result to the experts. The subject matter covers mean field theory of spin glasses, short range spin glasses as well as other models of statistical mechanics in random media, such as polymers in disordered potentials. Besides equilibrium statistical mechanics, nonequilibrium properties such as ageing are addressed. The focus of the book is on mathematically rigorous aspects of these topics. The book is intended for graduate students and researchers
20 editions published in 2009 in English and held by 108 WorldCat member libraries worldwide
This book contains a collection of texts ranging from a basic introduction to the mathematical theory of spin glasses to stateoftheart reports on current research, written by leading experts in the field. It provides a unique single reference volume that will guide the novice into the field and present an overview of recent result to the experts. The subject matter covers mean field theory of spin glasses, short range spin glasses as well as other models of statistical mechanics in random media, such as polymers in disordered potentials. Besides equilibrium statistical mechanics, nonequilibrium properties such as ageing are addressed. The focus of the book is on mathematically rigorous aspects of these topics. The book is intended for graduate students and researchers
Algebraic and geometric methods in mathematical physics : proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993 by
Anne Boutet de MonvelBerthier(
Book
)
11 editions published in 1996 in English and held by 87 WorldCat member libraries worldwide
This volume contains the proceedings of the First UkrainianFrench Romanian School "Algebraic and Geometric Methods in Mathematical Physics", held in Kaciveli, Crimea (Ukraine) from 1 September ti1114 September 1993. The School was organized by the generous support of the Ministry of Research and Space of France (MRE), the Academy of Sciences of Ukraine (ANU), the French National Center for Scientific Research (CNRS) and the State Committee for Science and Technologies of Ukraine (GKNT). Members of the International Scientific Committee were: J.M. Bony (paris), A. Boutet de MonvelBerthier (Paris, cochairman), P. Cartier (paris), V. Drinfeld (Kharkov), V. Georgescu (Paris), J.L. Lebowitz (Rutgers), V. Marchenko (Kharkov, cochairman), V.P. Maslov (Moscow), H. McKean (NewYork), Yu. Mitropolsky (Kiev), G. Nenciu (Bucharest, cochairman), S. Novikov (Moscow), G. Papanicolau (NewYork), L. Pastur (Kharkov), J.J. Sansuc (Paris). The School consisted of plenary lectures (morning sessions) and special sessions. The plenary lectures were intended to be accessible to all participants and plenary speakers were invited by the scientific organizing committee to give reviews of their own field of interest. The special sessions were devoted to a variety of more concrete and technical questions in the respective fields. According to the program the plenary lectures included in the volume are grouped in three chapters. The fourth chapter contains short communications
11 editions published in 1996 in English and held by 87 WorldCat member libraries worldwide
This volume contains the proceedings of the First UkrainianFrench Romanian School "Algebraic and Geometric Methods in Mathematical Physics", held in Kaciveli, Crimea (Ukraine) from 1 September ti1114 September 1993. The School was organized by the generous support of the Ministry of Research and Space of France (MRE), the Academy of Sciences of Ukraine (ANU), the French National Center for Scientific Research (CNRS) and the State Committee for Science and Technologies of Ukraine (GKNT). Members of the International Scientific Committee were: J.M. Bony (paris), A. Boutet de MonvelBerthier (Paris, cochairman), P. Cartier (paris), V. Drinfeld (Kharkov), V. Georgescu (Paris), J.L. Lebowitz (Rutgers), V. Marchenko (Kharkov, cochairman), V.P. Maslov (Moscow), H. McKean (NewYork), Yu. Mitropolsky (Kiev), G. Nenciu (Bucharest, cochairman), S. Novikov (Moscow), G. Papanicolau (NewYork), L. Pastur (Kharkov), J.J. Sansuc (Paris). The School consisted of plenary lectures (morning sessions) and special sessions. The plenary lectures were intended to be accessible to all participants and plenary speakers were invited by the scientific organizing committee to give reviews of their own field of interest. The special sessions were devoted to a variety of more concrete and technical questions in the respective fields. According to the program the plenary lectures included in the volume are grouped in three chapters. The fourth chapter contains short communications
Proceedings of the International Conference on Stochastic Analysis and Applications, Hammamet, 2001 by
Sergio Albeverio(
Book
)
4 editions published in 2004 in English and held by 63 WorldCat member libraries worldwide
Stochastic analysis is a field of mathematical research having numerous interactions with other domains of mathematics such as partial differential equations, riemannian path spaces, dynamical systems, optimization. It also has many links with applications in engineering, finance, quantum physics, and other fields. This book covers recent and diverse aspects of stochastic and infinitedimensional analysis. The included papers are written from a variety of standpoints (white noise analysis, Malliavin calculus, quantum stochastic calculus) by the contributors, and provide a broad coverage of the subject. This volume will be useful to graduate students and research mathematicians wishing to get acquainted with recent developments in the field of stochastic analysis
4 editions published in 2004 in English and held by 63 WorldCat member libraries worldwide
Stochastic analysis is a field of mathematical research having numerous interactions with other domains of mathematics such as partial differential equations, riemannian path spaces, dynamical systems, optimization. It also has many links with applications in engineering, finance, quantum physics, and other fields. This book covers recent and diverse aspects of stochastic and infinitedimensional analysis. The included papers are written from a variety of standpoints (white noise analysis, Malliavin calculus, quantum stochastic calculus) by the contributors, and provide a broad coverage of the subject. This volume will be useful to graduate students and research mathematicians wishing to get acquainted with recent developments in the field of stochastic analysis
Pour un enseignement des arts plastiques et visuels by
Anne Boutet de MonvelBerthier(
Book
)
4 editions published in 1974 in French and held by 61 WorldCat member libraries worldwide
4 editions published in 1974 in French and held by 61 WorldCat member libraries worldwide
The spin : Poincaré Seminar 2007 by
Anne Boutet de MonvelBerthier(
)
4 editions published in 2009 in English and held by 10 WorldCat member libraries worldwide
This book is the eighth in a series of Proceedings for the S´ eminaire Poincar´ e, which is directed towards a large audience of physicists and of mathematicians. The goal of this seminar is to provide up to date information about general topics of great interest in physics. Both the theoretical and experimental aspects are covered, with some historical background. Inspired by the Bourbaki seminar in mathematics in its organization, hence nicknamed "Bourbaphy", this Poincar´ e SeminarisheldattheInstitutHenriPoincar´ einParis,withcontributionsprepared inadvance.Particularcareisdevotedtothepedagogicalnatureofthepresentation so as to ful?ll the goal of being readable by a large audience of scientists. This new volume of the Poincar´ e Seminar series "The Spin" corresponds to the eleventh such Seminar, held on December 8, 2007. It describes how this once mysterious quantum reality called spin has become ubiquitous in modern physics from the most theoretical aspects down to the most practical applications of miniaturizing electronic and computer devices or helping medical diagnosis
4 editions published in 2009 in English and held by 10 WorldCat member libraries worldwide
This book is the eighth in a series of Proceedings for the S´ eminaire Poincar´ e, which is directed towards a large audience of physicists and of mathematicians. The goal of this seminar is to provide up to date information about general topics of great interest in physics. Both the theoretical and experimental aspects are covered, with some historical background. Inspired by the Bourbaki seminar in mathematics in its organization, hence nicknamed "Bourbaphy", this Poincar´ e SeminarisheldattheInstitutHenriPoincar´ einParis,withcontributionsprepared inadvance.Particularcareisdevotedtothepedagogicalnatureofthepresentation so as to ful?ll the goal of being readable by a large audience of scientists. This new volume of the Poincar´ e Seminar series "The Spin" corresponds to the eleventh such Seminar, held on December 8, 2007. It describes how this once mysterious quantum reality called spin has become ubiquitous in modern physics from the most theoretical aspects down to the most practical applications of miniaturizing electronic and computer devices or helping medical diagnosis
Clifford algebras and their applications in mathematical physics by
Rafał Abłamowicz(
Book
)
2 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
The plausible relativistic physical variables describing a spinning, charged and massive particle are, besides the charge itself, its Minkowski (four) po sition X, its relativistic linear (four) momentum P and also its socalled Lorentz (four) angular momentum E # 0, the latter forming four trans lation invariant part of its total angular (four) momentum M. Expressing these variables in terms of Poincare covariant real valued functions defined on an extended relativistic phase space [2, 7J means that the mutual Pois son bracket relations among the total angular momentum functions Mab and the linear momentum functions pa have to represent the commutation relations of the Poincare algebra. On any such an extended relativistic phase space, as shown by Zakrzewski [2, 7], the (natural?) Poisson bracket relations (1. 1) imply that for the splitting of the total angular momentum into its orbital and its spin part (1. 2) one necessarily obtains (1. 3) On the other hand it is always possible to shift (translate) the commuting (see (1. 1)) four position xa by a four vector ~Xa (1. 4) so that the total angular four momentum splits instead into a new orbital and a new (PauliLubanski) spin part (1. 5) in such a way that (1. 6) However, as proved by Zakrzewski [2, 7J, the sodefined new shifted four a position functions X must fulfill the following Poisson bracket relations: (1
2 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
The plausible relativistic physical variables describing a spinning, charged and massive particle are, besides the charge itself, its Minkowski (four) po sition X, its relativistic linear (four) momentum P and also its socalled Lorentz (four) angular momentum E # 0, the latter forming four trans lation invariant part of its total angular (four) momentum M. Expressing these variables in terms of Poincare covariant real valued functions defined on an extended relativistic phase space [2, 7J means that the mutual Pois son bracket relations among the total angular momentum functions Mab and the linear momentum functions pa have to represent the commutation relations of the Poincare algebra. On any such an extended relativistic phase space, as shown by Zakrzewski [2, 7], the (natural?) Poisson bracket relations (1. 1) imply that for the splitting of the total angular momentum into its orbital and its spin part (1. 2) one necessarily obtains (1. 3) On the other hand it is always possible to shift (translate) the commuting (see (1. 1)) four position xa by a four vector ~Xa (1. 4) so that the total angular four momentum splits instead into a new orbital and a new (PauliLubanski) spin part (1. 5) in such a way that (1. 6) However, as proved by Zakrzewski [2, 7J, the sodefined new shifted four a position functions X must fulfill the following Poisson bracket relations: (1
Etude des propriétés de propagation pour des systèmes quantiques du type Ncorps à noyaux durs by Andrei Iftimovici(
Book
)
1 edition published in 1994 in French and held by 3 WorldCat member libraries worldwide
Dans la premiere partie de la these on etend les resultats de sigal, soffer et graf sur la completude asymptotique pour des systemes quantiques a ncorps a interactions a courteportee en eliminant toutes les conditions de decroissance sur les derivees des perturbations. On trouve aussi une large classe de hamiltoniens autoadjoints verifiant le theoreme de propagation a vitesse maximale. Dans la deuxieme partie on etudie les proprietes de propagation pour des pseudoresolvantes associees a un hamiltonien a ncorps a potentiels infinis sur un compact de l'espace des configurations (probleme a ncorps a noyaux durs) ; on demontre l'existence et la completude asymptotique des operateurs d'onde construits en termes de pseudoresolvantes et on montre que le principe d'invariance est valable pour des operateurs construits avec des limites abeliennes absolues
1 edition published in 1994 in French and held by 3 WorldCat member libraries worldwide
Dans la premiere partie de la these on etend les resultats de sigal, soffer et graf sur la completude asymptotique pour des systemes quantiques a ncorps a interactions a courteportee en eliminant toutes les conditions de decroissance sur les derivees des perturbations. On trouve aussi une large classe de hamiltoniens autoadjoints verifiant le theoreme de propagation a vitesse maximale. Dans la deuxieme partie on etudie les proprietes de propagation pour des pseudoresolvantes associees a un hamiltonien a ncorps a potentiels infinis sur un compact de l'espace des configurations (probleme a ncorps a noyaux durs) ; on demontre l'existence et la completude asymptotique des operateurs d'onde construits en termes de pseudoresolvantes et on montre que le principe d'invariance est valable pour des operateurs construits avec des limites abeliennes absolues
The commutator method for form relatively compact perturbations by
Anne Boutet de MonvelBerthier(
Book
)
2 editions published between 1990 and 1991 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1990 and 1991 in English and held by 3 WorldCat member libraries worldwide
The trace formula for Schrödinger operators from infinite dimensional oscillatory integrals by
Sergio Albeverio(
Book
)
1 edition published in 1992 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 3 WorldCat member libraries worldwide
UNE INTERPRETATION MATHEMATIQUE DU MODELE DE POLYAKOV POUR LES CORDES BOSONIQUES EN DIMENSION NON CRITIQUE by
Sylvie Paycha(
Book
)
1 edition published in 1990 in French and held by 3 WorldCat member libraries worldwide
CETTE THESE TENTE DE DECRIRE DANS UN CADRE MATHEMATIQUE DIVERS ASPECTS DE LA REDUCTION DU MODELE DE POLYAKOV POUR LES CORDES BOSONIQUES EN DIMENSION NON CRITIQUE AU MODELE DE LIOUVILLE. LA PREMIERE PARTIE DE CE TRAVAIL PRESENTE UNE VERSION REGULARISEE DU MODELE DE POLYAKOV EN UTILISANT LES PROCESSUS STOCHASTIQUES SUR DES VARIETES DE DIMENSION INFINIE. LA DEUXIEME PARTIE TRAITE DE LA REDUCTION AU MODELE DE LIOUVILLE. LES DETERMINANTS JACOBIENS INTERVENANT DANS CETTE REDUCTION SONT ETUDIES DANS LE CONTEXTE DES DETERMINANTS D'OPERATEURS ELLIPTIQUES SUR DES SURFACES COMPACTES ET LEURS REGULARISATIONS. LA MESURE DE LIOUVILLE EST DECRITE EN TERMES DE MESURES GAUSSIENNES AVEC INTERACTION EXPONENTIELLE BIEN DEFINIE
1 edition published in 1990 in French and held by 3 WorldCat member libraries worldwide
CETTE THESE TENTE DE DECRIRE DANS UN CADRE MATHEMATIQUE DIVERS ASPECTS DE LA REDUCTION DU MODELE DE POLYAKOV POUR LES CORDES BOSONIQUES EN DIMENSION NON CRITIQUE AU MODELE DE LIOUVILLE. LA PREMIERE PARTIE DE CE TRAVAIL PRESENTE UNE VERSION REGULARISEE DU MODELE DE POLYAKOV EN UTILISANT LES PROCESSUS STOCHASTIQUES SUR DES VARIETES DE DIMENSION INFINIE. LA DEUXIEME PARTIE TRAITE DE LA REDUCTION AU MODELE DE LIOUVILLE. LES DETERMINANTS JACOBIENS INTERVENANT DANS CETTE REDUCTION SONT ETUDIES DANS LE CONTEXTE DES DETERMINANTS D'OPERATEURS ELLIPTIQUES SUR DES SURFACES COMPACTES ET LEURS REGULARISATIONS. LA MESURE DE LIOUVILLE EST DECRITE EN TERMES DE MESURES GAUSSIENNES AVEC INTERACTION EXPONENTIELLE BIEN DEFINIE
Graded C*algebras associated to symplectic spaces and spectral analysis of many channel Hamiltonians by
Anne Boutet de MonvelBerthier(
Book
)
1 edition published in 1992 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 3 WorldCat member libraries worldwide
THEOREMES DE PROPAGATION, HAMILTONIENS LOCALEMENT REGULIERS ET APPLICATIONS by Jaouad Sahbani(
Book
)
1 edition published in 1996 in French and held by 3 WorldCat member libraries worldwide
LE BUT DE CE TRAVAIL EST D'ANALYSER LE COMPORTEMENT DES VALEURS AU BORD DE LA RESOLVANTE ET LES PROPRIETES DE PROPAGATION D'UN OPERATEUR AUTOADJOINT H DANS LE CADRE DE LA THEORIE DES OPERATEURS CONJUGUES. DANS LE CAS OU H POSSEDE UNE LACUNE SPECTRALE NOUS OBTENONS, PAR EXEMPLE, DES RESULTATS OPTIMAUX CONCERNANT LA REGULARITE DE CES VALEURS AU BORD LOCALISEES DANS LA DIRECTION POSITIVE (OU NEGATIVE) DU SPECTRE DE L'OPERATEUR CONJUGUE. NOUS EN DEDUISONS DES ESTIMATIONS DE DISPERSION LOCALE ET DES ESTIMATIONS DE PROPAGATION POUR LE FLOT ENGENDRE PAR H, ESTIMATIONS DONT L'IMPORTANCE EST MISE EN EVIDENCE GRACE AUX TRAVAUX DE E. MOURRE. NOUS APPLIQUONS CES RESULTATS A DES PERTURBATIONS FORTEMENT SINGULIERES DES OPERATEURS PSEUDODIFFERENTIELS HYPOELLIPTIQUES ET A L'OPERATEUR DE DIRAC. EN PARTICULIER, NOUS ETABLISSONS UN CRITERE QUI NOUS PERMET DE VERIFIER LA CONDITION DE LA REGULARITE DE H PAR RAPPORT A SON OPERATEUR CONJUGUE ET D'OBTENIR DES THEOREMES DE PROPAGATION SOUS DES CONDITIONS GENERALES ET NATURELLES. ENSUITE, NOUS DEVELOPPONS UNE VERSION DE LA METHODE DES OPERATEURS CONJUGUES POUR UNE PAIRE ARBITRAIRE D'OPERATEURS AUTOADJOINTS: L'HAMILTONIEN H ET L'OPERATEUR CONJUGUE A. CETTE APPROCHE NOUS PERMET D'ELIMINER LA CONDITION DE LACUNE SPECTRALE SANS DEMANDER L'INVARIANCE DU DOMAINE OU DU DOMAINE DE LA FORME QUADRATIQUE ASSOCIEE A H SOUS LE GROUPE ENGENDRE PAR L'OPERATEUR CONJUGUE (LES VERSIONS PRECEDENTES DEMANDENT AU MOINS L'UNE). EN PARTICULIER, NOUS POUVONS TRAITER DES HAMILTONIENS TRES SINGULIER AVEC UN SPECTRE EGALE A R. PAR EXEMPLE, NOUS ETUDIONS DES PERTURBATIONS FORTEMENT SINGULIERE DE L'HAMILTONIEN DE L'EFFET STARK AINSI QUE LES OPERATEURS SIMPLEMENT CARACTERISTIQUE
1 edition published in 1996 in French and held by 3 WorldCat member libraries worldwide
LE BUT DE CE TRAVAIL EST D'ANALYSER LE COMPORTEMENT DES VALEURS AU BORD DE LA RESOLVANTE ET LES PROPRIETES DE PROPAGATION D'UN OPERATEUR AUTOADJOINT H DANS LE CADRE DE LA THEORIE DES OPERATEURS CONJUGUES. DANS LE CAS OU H POSSEDE UNE LACUNE SPECTRALE NOUS OBTENONS, PAR EXEMPLE, DES RESULTATS OPTIMAUX CONCERNANT LA REGULARITE DE CES VALEURS AU BORD LOCALISEES DANS LA DIRECTION POSITIVE (OU NEGATIVE) DU SPECTRE DE L'OPERATEUR CONJUGUE. NOUS EN DEDUISONS DES ESTIMATIONS DE DISPERSION LOCALE ET DES ESTIMATIONS DE PROPAGATION POUR LE FLOT ENGENDRE PAR H, ESTIMATIONS DONT L'IMPORTANCE EST MISE EN EVIDENCE GRACE AUX TRAVAUX DE E. MOURRE. NOUS APPLIQUONS CES RESULTATS A DES PERTURBATIONS FORTEMENT SINGULIERES DES OPERATEURS PSEUDODIFFERENTIELS HYPOELLIPTIQUES ET A L'OPERATEUR DE DIRAC. EN PARTICULIER, NOUS ETABLISSONS UN CRITERE QUI NOUS PERMET DE VERIFIER LA CONDITION DE LA REGULARITE DE H PAR RAPPORT A SON OPERATEUR CONJUGUE ET D'OBTENIR DES THEOREMES DE PROPAGATION SOUS DES CONDITIONS GENERALES ET NATURELLES. ENSUITE, NOUS DEVELOPPONS UNE VERSION DE LA METHODE DES OPERATEURS CONJUGUES POUR UNE PAIRE ARBITRAIRE D'OPERATEURS AUTOADJOINTS: L'HAMILTONIEN H ET L'OPERATEUR CONJUGUE A. CETTE APPROCHE NOUS PERMET D'ELIMINER LA CONDITION DE LACUNE SPECTRALE SANS DEMANDER L'INVARIANCE DU DOMAINE OU DU DOMAINE DE LA FORME QUADRATIQUE ASSOCIEE A H SOUS LE GROUPE ENGENDRE PAR L'OPERATEUR CONJUGUE (LES VERSIONS PRECEDENTES DEMANDENT AU MOINS L'UNE). EN PARTICULIER, NOUS POUVONS TRAITER DES HAMILTONIENS TRES SINGULIER AVEC UN SPECTRE EGALE A R. PAR EXEMPLE, NOUS ETUDIONS DES PERTURBATIONS FORTEMENT SINGULIERE DE L'HAMILTONIEN DE L'EFFET STARK AINSI QUE LES OPERATEURS SIMPLEMENT CARACTERISTIQUE
C0Groups, Commutator Methods and Spectral Theory of NBody Hamiltonians by
Werner O Amrein(
)
1 edition published in 1996 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 3 WorldCat member libraries worldwide
Valeurs propres d'opérateurs différentiels à coefficients irréguliers by
Lech Zieliński(
Book
)
1 edition published in 1990 in French and held by 3 WorldCat member libraries worldwide
On donne le comportement asymptotique avec l'estimation du reste du nombre des valeurs propres pour un opérateur différentiel sur une variété compacte (lisse, sans bord), formellement autoadjoint à coefficients Holder continus, satisfaisant des conditions du type d'hypoellipticité. La question analogue (dans le cas elliptique) pour les problèmes aux limites a fait l'objet de nombreux travaux, mais les estimations connues sont moins précises que celles, démontrées dans la thèse. Les résultats de la thèse sont obtenus à l'aide d'une approximation par des opérateurs pseudodifférentiels et de l'idée taurobolique de L. Hormone. cependant les méthodes classiques de l'optique géométrique, basées sur la théorie d'opérateurs intégraux de Fourier, ne donnent pas d'estimations désirées et l'approche présentée est une nouvelle façon de justifier le calcul symbolique convenable
1 edition published in 1990 in French and held by 3 WorldCat member libraries worldwide
On donne le comportement asymptotique avec l'estimation du reste du nombre des valeurs propres pour un opérateur différentiel sur une variété compacte (lisse, sans bord), formellement autoadjoint à coefficients Holder continus, satisfaisant des conditions du type d'hypoellipticité. La question analogue (dans le cas elliptique) pour les problèmes aux limites a fait l'objet de nombreux travaux, mais les estimations connues sont moins précises que celles, démontrées dans la thèse. Les résultats de la thèse sont obtenus à l'aide d'une approximation par des opérateurs pseudodifférentiels et de l'idée taurobolique de L. Hormone. cependant les méthodes classiques de l'optique géométrique, basées sur la théorie d'opérateurs intégraux de Fourier, ne donnent pas d'estimations désirées et l'approche présentée est une nouvelle façon de justifier le calcul symbolique convenable
Homogenization of partial differential equations by
V. A Marchenko(
)
4 editions published in 2006 in English and held by 0 WorldCat member libraries worldwide
Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients or boundary value problems in domains with complex microstructure. From the technical point of view, given the complexity of these processes, the best techniques to solve a wide variety of problems involve constructing appropriate macroscopic (homogenized) models. The present monograph is a comprehensive study of homogenized problems, based on the asymptotic analysis of boundary value problems as the characteristic scales of the microstructure decrease to zero. The work focuses on the construction of nonstandard models: nonlocal models, multicomponent models, and models with memory. Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided. Graduate students, applied mathematicians, physicists, and engineers will benefit from this monograph, which may be used in the classroom or as a comprehensive reference text
4 editions published in 2006 in English and held by 0 WorldCat member libraries worldwide
Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients or boundary value problems in domains with complex microstructure. From the technical point of view, given the complexity of these processes, the best techniques to solve a wide variety of problems involve constructing appropriate macroscopic (homogenized) models. The present monograph is a comprehensive study of homogenized problems, based on the asymptotic analysis of boundary value problems as the characteristic scales of the microstructure decrease to zero. The work focuses on the construction of nonstandard models: nonlocal models, multicomponent models, and models with memory. Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided. Graduate students, applied mathematicians, physicists, and engineers will benefit from this monograph, which may be used in the classroom or as a comprehensive reference text
Intermediate spectral theory and quantum dynamics by
César R. de Oliveira(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
"The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. Furthermore, such a rigorous mathematical foundation leads to a more profound insight into the nature of quantum mechanics. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) selfadjoint operators and its application in quantum dynamics." "The book is intended for graduate (or advanced undergraduate) students and researchers interested in mathematical physics. It starts with linear operator theory, spectral questions and selfadjointness, and ends with the effect of spectral type on the large time behaviour of quantum systems. Many examples and exercises are included that focus on quantum mechanics."Jacket
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
"The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. Furthermore, such a rigorous mathematical foundation leads to a more profound insight into the nature of quantum mechanics. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) selfadjoint operators and its application in quantum dynamics." "The book is intended for graduate (or advanced undergraduate) students and researchers interested in mathematical physics. It starts with linear operator theory, spectral questions and selfadjointness, and ends with the effect of spectral type on the large time behaviour of quantum systems. Many examples and exercises are included that focus on quantum mechanics."Jacket
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Related Identities
 Georgescu, V. (Vladimir) 1947
 Amrein, Werner O. Author
 Bovier, Anton 1957 Editor
 Bros, Jacques
 Marchenko, V. A. (Vladimir Aleksandrovich) 1922 Other Author Editor
 Bros, Jacques Honoree Dedicatee
 Tracy, C.
 Sternheimer, D.
 Berenstein, C.
 Kaiser, Gerald
Associated Subjects
ArtStudy and teaching (Elementary) Clifford algebras Differential equations, Partial Differential equations, PartialAsymptotic theory Differential operators Distribution (Probability theory) Engineering France Functional analysis Geometry, Algebraic Global analysis (Mathematics) Global differential geometry Group theory Hamiltonian operator Homogenization (Differential equations) Inequalities (Mathematics) Linear operators Mathematical optimization Mathematical physics Mathematics Operator theory Physics Pseudodifferential operators Quantum field theory Quantum Hall effect Quantum statistics Quantum theory Quantum theoryMathematics Science Selfadjoint operators Spectral theory (Mathematics) Spin glasses Spin glassesMathematics Statistical physics Stochastic analysis
Alternative Names
Berthier, A. M.
Berthier, Anne Boutet de Monvel.
Berthier, Anne Boutet de Monvel 1948
Berthier, AnneMarie
Boutet de Monvel, Anne.
Boutet de Monvel, Anne 1948
Boutet de Monvel, AnneMarie
Boutet de Monvel, AnneMarie 1948
Boutet de MonvelBerthier, Anne
Boutet de MonvelBerthier, Anne 1948
De Monvel, Anne Boutet
De MonvelBerthier, Anne Boutet.
De MonvelBerthier, Anne Boutet 1948
Monvel, Anne Boutet
Monvel, Anne Boutet de 1948
MonvelBerthier, Anne Boutet de.
MonvelBerthier, Anne Boutet de 1948
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