Boutet de MonvelBerthier, Anne 1948
Overview
Works:  84 works in 200 publications in 2 languages and 2,454 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Thesis advisor, Other 
Classifications:  QC20.7.G44, 530.12 
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 251 WorldCat member libraries worldwide
The conjugate operator method is a powerful recently developed 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 Nbody Schrödinger hamiltonians. Another topic is a new algebraic framework for the Nbody problem allowing a simple and systematic treatment of large classes of manychannel hamiltonians. 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.    Certainly this monograph (containing a bibliography of 170 items) is a wellwritten contribution to this field which is suitable to stimulate further evolution of the theory. (Mathematical Reviews)
24 editions published between 1996 and 2013 in English and held by 251 WorldCat member libraries worldwide
The conjugate operator method is a powerful recently developed 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 Nbody Schrödinger hamiltonians. Another topic is a new algebraic framework for the Nbody problem allowing a simple and systematic treatment of large classes of manychannel hamiltonians. 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.    Certainly this monograph (containing a bibliography of 170 items) is a wellwritten contribution to this field which is suitable to stimulate further evolution of the theory. (Mathematical Reviews)
Hardy type inequalities for abstract differential operators by
Werner O Amrein(
Book
)
11 editions published in 1987 in English and held by 224 WorldCat member libraries worldwide
11 editions published in 1987 in English and held by 224 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 208 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 208 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
M Flato(
Book
)
7 editions published in 1991 in English and held by 129 WorldCat member libraries worldwide
7 editions published in 1991 in English and held by 129 WorldCat member libraries worldwide
Spin glasses : statics and dynamics, Summer School, Paris 2007 by
Anne Boutet de MonvelBerthier(
Book
)
21 editions published in 2009 in English and held by 113 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
21 editions published in 2009 in English and held by 113 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 86 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 86 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
)
5 editions published in 2004 in English and held by 62 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
5 editions published in 2004 in English and held by 62 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 58 WorldCat member libraries worldwide
4 editions published in 1974 in French and held by 58 WorldCat member libraries worldwide
The spin : Poincaré Seminar 2007 by
Anne Boutet de MonvelBerthier(
)
4 editions published in 2009 in English and held by 8 WorldCat member libraries worldwide
This book is the eighth in a series of Proceedings for the Sþ eminaire Poincarþ 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 Poincarþ e SeminarisheldattheInstitutHenriPoincarþ 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 Poincarþ 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 8 WorldCat member libraries worldwide
This book is the eighth in a series of Proceedings for the Sþ eminaire Poincarþ 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 Poincarþ e SeminarisheldattheInstitutHenriPoincarþ 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 Poincarþ 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
Singularity theory and gravitational lensing by
Arlie O Petters(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
"This monograph develops a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing." "Examples, illustrations, bibliography and index make this a suitable text for an undergraduate/graduate course, seminar, or independent thesis project on gravitational lensing. The book is also a reference text for professional mathematicians, mathematical physicists, astrophysicists, and physicists."Jacket
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
"This monograph develops a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing." "Examples, illustrations, bibliography and index make this a suitable text for an undergraduate/graduate course, seminar, or independent thesis project on gravitational lensing. The book is also a reference text for professional mathematicians, mathematical physicists, astrophysicists, and physicists."Jacket
A geometric approach to thermomechanics of dissipating continua by
Lalao Rakotomanana(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
"The required mathematical background is given in several appendices, although some basic understanding of differential geometry and tensor analysis would be helpful. The book is largely selfcontained and should serve a readership of graduate students, researchers, and engineers in applied mathematics, mechanics, and physics."Jacket
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
"The required mathematical background is given in several appendices, although some basic understanding of differential geometry and tensor analysis would be helpful. The book is largely selfcontained and should serve a readership of graduate students, researchers, and engineers in applied mathematics, mechanics, and physics."Jacket
Foundations of classical electrodynamics : charge, flux, and metric by
F. W Hehl(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This book presents a fresh, original exposition of the foundations of classical electrodynamics in the tradition of the socalled metricfree approach. The fundamental structure of classical electrodynamics is described in the form of six axioms: (1) electric charge conservation, (2) existence of the Lorentz force, (3) magnetic flux conservation, (4) localization of electromagnetic energymomentum, (5) existence of an electromagnetic spacetime relation, and (6) splitting of the electric current into material and external pieces. The first four axioms require an arbitrary 4dimensional differentiable manifold. The fifth axiom characterizes spacetime as the environment in which the electromagnetic field propagates  a research topic of considerable interest  and in which the metric tensor of spacetime makes its appearance, thus coupling electromagnetism and gravitation. Repeated emphasis is placed on interweaving the mathematical definitions of physical notions and the actual physical measurement procedures. The tool for formulating the theory is the calculus of exterior differential forms, which is explained in sufficient detail, along with the corresponding computer algebra programs. Prerequisites for the reader include a knowledge of elementary electrodynamics (with Maxwell's equations), linear algebra and elementary vector analysis; some knowledge of differential geometry would help. Foundations of Classical Electrodynamics unfolds systematically at a level suitable for graduate students and researchers in mathematics, physics, and electrical engineering
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This book presents a fresh, original exposition of the foundations of classical electrodynamics in the tradition of the socalled metricfree approach. The fundamental structure of classical electrodynamics is described in the form of six axioms: (1) electric charge conservation, (2) existence of the Lorentz force, (3) magnetic flux conservation, (4) localization of electromagnetic energymomentum, (5) existence of an electromagnetic spacetime relation, and (6) splitting of the electric current into material and external pieces. The first four axioms require an arbitrary 4dimensional differentiable manifold. The fifth axiom characterizes spacetime as the environment in which the electromagnetic field propagates  a research topic of considerable interest  and in which the metric tensor of spacetime makes its appearance, thus coupling electromagnetism and gravitation. Repeated emphasis is placed on interweaving the mathematical definitions of physical notions and the actual physical measurement procedures. The tool for formulating the theory is the calculus of exterior differential forms, which is explained in sufficient detail, along with the corresponding computer algebra programs. Prerequisites for the reader include a knowledge of elementary electrodynamics (with Maxwell's equations), linear algebra and elementary vector analysis; some knowledge of differential geometry would help. Foundations of Classical Electrodynamics unfolds systematically at a level suitable for graduate students and researchers in mathematics, physics, and electrical engineering
Mathematical theory of diffraction by
Arnold Sommerfeld(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
Arnold Sommerfeld's "Mathematische Theorie der Diffraction" marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his oftencited diffraction solution is presented only as an application of a much more general set of mathematical results. The body of Sommerfeld's work is devoted to the systematic development of a method for deriving solutions of the wave equation on Riemann surfaces, a fascinating but perhaps underappreciated topic in mathematical physics. This complete translation, reflecting substantial scholarship, is the first publication in English of Sommerfeld's original work. The extensive notes by the translators are rich in historical background and provide many technical details for the reader. A detailed account of the previous diffraction analyses of Kirchhoff and Poincaré provides a context for the striking originality and power of Sommerfeld's ideas. The availability of this translation is an enriching contribution to the community of mathematical and theoretical physicists. TOC:Preface * Introduction * Mathematical Theory of Diffraction * General problem formulation * Expansions in Bessel functions * Transition formula * Bessel functions as the simplest examples * Everywhere finite solutions * Solutions with a singularity * Graphical treatment of the simplest multivalued solution * Application to diffraction * Tafel *Translators' Notes *Appendix I: The History and Present State of Discoveries relating to Vision, Light and Colours, Joseph Priestley, London, 1772, pp. 171182. * Index
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
Arnold Sommerfeld's "Mathematische Theorie der Diffraction" marks a milestone in optical theory, full of insights that are still relevant today. In a stunning tour de force, Sommerfeld derives the first mathematically rigorous solution of an optical diffraction problem. Indeed, his diffraction analysis is a surprisingly rich and complex mix of pure and applied mathematics, and his oftencited diffraction solution is presented only as an application of a much more general set of mathematical results. The body of Sommerfeld's work is devoted to the systematic development of a method for deriving solutions of the wave equation on Riemann surfaces, a fascinating but perhaps underappreciated topic in mathematical physics. This complete translation, reflecting substantial scholarship, is the first publication in English of Sommerfeld's original work. The extensive notes by the translators are rich in historical background and provide many technical details for the reader. A detailed account of the previous diffraction analyses of Kirchhoff and Poincaré provides a context for the striking originality and power of Sommerfeld's ideas. The availability of this translation is an enriching contribution to the community of mathematical and theoretical physicists. TOC:Preface * Introduction * Mathematical Theory of Diffraction * General problem formulation * Expansions in Bessel functions * Transition formula * Bessel functions as the simplest examples * Everywhere finite solutions * Solutions with a singularity * Graphical treatment of the simplest multivalued solution * Application to diffraction * Tafel *Translators' Notes *Appendix I: The History and Present State of Discoveries relating to Vision, Light and Colours, Joseph Priestley, London, 1772, pp. 171182. * Index
Analysis of Dirac systems and computational algebra by
Fabrizio Colombo(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
"Knowledge from different fields of mathematics such as commutative algebra, Grobner bases, sheaf theory, cohomology, topological vector spaces, and generalized functions (distributions and hyperfunctions) is required of the reader. However, all the necessary classical material is initially presented." "The book may be used by graduate students and researchers interested in (hyper)complex analysis, Clifford analysis, systems of partial differential equations with constant coefficients, and mathematical physics."Jacket
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
"Knowledge from different fields of mathematics such as commutative algebra, Grobner bases, sheaf theory, cohomology, topological vector spaces, and generalized functions (distributions and hyperfunctions) is required of the reader. However, all the necessary classical material is initially presented." "The book may be used by graduate students and researchers interested in (hyper)complex analysis, Clifford analysis, systems of partial differential equations with constant coefficients, and mathematical physics."Jacket
Higher order partial differential equations in Clifford analysis : effective solutions to problems by
E. I Obolashvili(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This monograph is devoted to new types of higher order PDEs in the framework of Clifford analysis. While elliptic and hyperbolic equations have been studied in the Clifford analysis setting in book and journal literature, parabolic equations in this framework have been largely ignored and are the primary focus of this work. Thus, new types of equations are examined: elliptichyperbolic, ellipticparabolic, hyperbolicparabolic and elliptichyperbolicparabolic. These equations are related to polyharmonic, polywave, polyheat, harmonicwave, harmonicheat, waveheat and harmonicwaveheat equations for which various boundary and initial value problems are solved explicitly in quadratures. The solutions to these new equations in the Clifford setting have some remarkable applications, for example, to the mechanics of deformable bodies, electromagnetic fields, and quantum mechanics
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This monograph is devoted to new types of higher order PDEs in the framework of Clifford analysis. While elliptic and hyperbolic equations have been studied in the Clifford analysis setting in book and journal literature, parabolic equations in this framework have been largely ignored and are the primary focus of this work. Thus, new types of equations are examined: elliptichyperbolic, ellipticparabolic, hyperbolicparabolic and elliptichyperbolicparabolic. These equations are related to polyharmonic, polywave, polyheat, harmonicwave, harmonicheat, waveheat and harmonicwaveheat equations for which various boundary and initial value problems are solved explicitly in quadratures. The solutions to these new equations in the Clifford setting have some remarkable applications, for example, to the mechanics of deformable bodies, electromagnetic fields, and quantum mechanics
Rigorous Quantum Field Theory : a Festschrift for Jacques Bros by
Anne Boutet de MonvelBerthier(
)
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
Presents understanding of rigorous quantum field theory through numerous fundamental contributions. This work features topics that include: analytic structures of QFT, renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, and QFT on noncommutative Minkowski spacetime
1 edition published in 2006 in English and held by 0 WorldCat member libraries worldwide
Presents understanding of rigorous quantum field theory through numerous fundamental contributions. This work features topics that include: analytic structures of QFT, renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, and QFT on noncommutative Minkowski spacetime
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
Topics in quantum mechanics by
Floyd L Williams(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
The theories of quantum fields and strings have had a fruitful impact on certain exciting developments in mathematics and have sparked mathematicians' interest in further understanding some of the basic elements of these grand physical theories. This selfcontained text presents quantum mechanics from the point of view of some computational examples with a mixture of mathematical clarity often not found in texts offering only a purely physical point of view. Emphasis is placed on the systematic application of the Nikiforov Uvarov theory of generalized hypergeometric differential equations to solve the Schr"dinger equation and to obtain the quantization of energies from a single unified point of view. This theory is developed and is also used to give a uniform approach to the theory of special functions. Additional key features:* Considerable material is devoted to the foundations of classical mechanics using conventional mathematical terminology * The first 10 chapters of Part I cover Planck and Schr"dinger quantization, Pauli's spin functions, and an introduction to multielectron atoms * Part II treats such topics as Feynman path integrals, quantum statistical partition functions, high and low temperature asymptotics of quantum fields of over a negatively curved spacetime * Selected special topics involve some applications of the theory of automorphic forms, zeta functions, the Jacobi inversion formula, spherical harmonic analysis and the Selberg trace formula * Excellent bibliography and index. Communication between physicists and mathematicians requires continual bridges to eliminate the divide. This monograph furthers that goal in presenting some new and exciting applications of socalled pure mathematics, including number theory, to various problems arising in
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
The theories of quantum fields and strings have had a fruitful impact on certain exciting developments in mathematics and have sparked mathematicians' interest in further understanding some of the basic elements of these grand physical theories. This selfcontained text presents quantum mechanics from the point of view of some computational examples with a mixture of mathematical clarity often not found in texts offering only a purely physical point of view. Emphasis is placed on the systematic application of the Nikiforov Uvarov theory of generalized hypergeometric differential equations to solve the Schr"dinger equation and to obtain the quantization of energies from a single unified point of view. This theory is developed and is also used to give a uniform approach to the theory of special functions. Additional key features:* Considerable material is devoted to the foundations of classical mechanics using conventional mathematical terminology * The first 10 chapters of Part I cover Planck and Schr"dinger quantization, Pauli's spin functions, and an introduction to multielectron atoms * Part II treats such topics as Feynman path integrals, quantum statistical partition functions, high and low temperature asymptotics of quantum fields of over a negatively curved spacetime * Selected special topics involve some applications of the theory of automorphic forms, zeta functions, the Jacobi inversion formula, spherical harmonic analysis and the Selberg trace formula * Excellent bibliography and index. Communication between physicists and mathematicians requires continual bridges to eliminate the divide. This monograph furthers that goal in presenting some new and exciting applications of socalled pure mathematics, including number theory, to various problems arising in
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Related Identities
 Georgescu, V. (Vladimir) 1947
 Amrein, Werner O. Author
 Bros, Jacques Honoree Dedicatee
 Bovier, Anton 1957 Editor
 Marchenko, V. A. (Vladimir Aleksandrovich) 1922 Other Author Editor
 Kaiser, Gerald
 Berry, M.
 Berenstein, C.
 Tracy, C.
 Fokas, A. S.
Associated Subjects
Algebra Algebraic topology ArtStudy and teaching (Elementary) Cell aggregationMathematics Clifford algebras Continuum mechanics Differential equations, Parabolic Differential equations, Partial Differential equations, PartialAsymptotic theory Differential operators Dirac equation Distribution (Probability theory) ElectrodynamicsMathematics Engineering France Functional analysis Functions of complex variables Geometric quantum phases Geometry, Algebraic Global analysis (Mathematics) Global differential geometry Group theory Hamiltonian operator Harmonic analysis Homogenization (Differential equations) Inequalities (Mathematics) Linear operators Mathematical analysis Mathematical optimization Mathematical physics Mathematics Mechanics Operator theory Physics Pseudodifferential operators Quantum field theory Quantum Hall effect Quantum statistics Quantum theory Quantum theoryMathematics Science Selfadjoint operators Singularities (Mathematics) Spectral theory (Mathematics) Spin glasses Spin glassesMathematics Statistical physics Stochastic analysis Thermodynamics Topological groups
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
Monvel, Anne Boutet de 1948
MonvelBerthier, Anne Boutet de.
MonvelBerthier, Anne Boutet de 1948
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