Sternheimer, D.
Overview
Works:  10 works in 18 publications in 1 language and 187 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Other 
Publication Timeline
.
Most widely held works by
D Sternheimer
Homogenization of partial differential equations by
V. A Marchenko(
)
5 editions published in 2006 in English and Undetermined and held by 84 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
5 editions published in 2006 in English and Undetermined and held by 84 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
Quantum mechanics, determinism, causality, and particles : an international collection of contributions in honor of Louis
de Broglie on the occasion of the jubilee of his celebrated thesis by
M Flato(
)
1 edition published in 1976 in English and held by 48 WorldCat member libraries worldwide
Two important events in the history of physical sciences occurred re cently: the fiftieth anniversary of Quantum Mechanics and the Jubilee of Louis de Broglie's celebrated Thesis. These events occurred in the same period of time when the world honored de Broglie on the occa sion of his eightieth birthday. Some of de Broglie's friends, former students, and some people who used to know him and appreciate his personality decided to prepare an international volume for this cele brated occasion. Such a task was not very easy. It is always simpler to contribute in honor of famous people whose works and impact were great on a tech nical and pragmatic level than to contribute in honor of a person whose achievements were not only dominant in physical sciences themselves, but also had many important implications for the development of the whole branch of philosophy of sciences. Louis de Broglie, the man to whom we owe among other things the most fundamental notion of duality between waves and particles, be longs in a way to the Einsteinian school of thought. He never accepted literally the Copenhagen interpretation of quantum mechanics. To him it was clear that this interpretation makes quantum mechanics incomplete and highly nondeterministic. He always believed that since the duality between waves and particles was an experimental fact, there should be some manifestation of the Schrodinger wave itself in the realistic world. De Broglie had to struggle much for this idea, which he never gave up
1 edition published in 1976 in English and held by 48 WorldCat member libraries worldwide
Two important events in the history of physical sciences occurred re cently: the fiftieth anniversary of Quantum Mechanics and the Jubilee of Louis de Broglie's celebrated Thesis. These events occurred in the same period of time when the world honored de Broglie on the occa sion of his eightieth birthday. Some of de Broglie's friends, former students, and some people who used to know him and appreciate his personality decided to prepare an international volume for this cele brated occasion. Such a task was not very easy. It is always simpler to contribute in honor of famous people whose works and impact were great on a tech nical and pragmatic level than to contribute in honor of a person whose achievements were not only dominant in physical sciences themselves, but also had many important implications for the development of the whole branch of philosophy of sciences. Louis de Broglie, the man to whom we owe among other things the most fundamental notion of duality between waves and particles, be longs in a way to the Einsteinian school of thought. He never accepted literally the Copenhagen interpretation of quantum mechanics. To him it was clear that this interpretation makes quantum mechanics incomplete and highly nondeterministic. He always believed that since the duality between waves and particles was an experimental fact, there should be some manifestation of the Schrodinger wave itself in the realistic world. De Broglie had to struggle much for this idea, which he never gave up
Intermediate spectral theory and quantum dynamics by
César R. de Oliveira(
)
3 editions published in 2009 in English and Undetermined and held by 22 WorldCat member libraries worldwide
Linear operators and spectra  Adjoint operator  Fourier transform and free Hamiltonian  Operators via sesquilinear forms  Unitary evolution groups  KatoRellich theorem  Boundary triples and selfadjointness  Spectral theorem  Applications of the spectral theorem  Convergence of selfadjoint operators  Spectral decomposition I  Spectral decomposition II  Spectrum and quantum dynamics  Some quantum relations
3 editions published in 2009 in English and Undetermined and held by 22 WorldCat member libraries worldwide
Linear operators and spectra  Adjoint operator  Fourier transform and free Hamiltonian  Operators via sesquilinear forms  Unitary evolution groups  KatoRellich theorem  Boundary triples and selfadjointness  Spectral theorem  Applications of the spectral theorem  Convergence of selfadjoint operators  Spectral decomposition I  Spectral decomposition II  Spectrum and quantum dynamics  Some quantum relations
The spin : Poincaré Seminar 2007 by
Bertrand Duplantier(
)
1 edition published in 2009 in English and held by 11 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
1 edition published in 2009 in English and held by 11 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
The Spin : Poincar? Seminar 2007 by
Anne Boutet de MonvelBerthier(
)
1 edition published in 2009 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 7 WorldCat member libraries worldwide
The Spin Poincaré Seminar 2007 by
Anne Boutet de MonvelBerthier(
)
3 editions published in 2009 in English and Undetermined and held by 7 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
3 editions published in 2009 in English and Undetermined and held by 7 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
Modern group theoretical methods in physics : proceedings of the conference in honour of Guy Rideau by
M Flato(
)
1 edition published in 1995 in English and held by 6 WorldCat member libraries worldwide
This book contains the proceedings of a meeting that brought together friends and colleagues of Guy Rideau at the Université Denis Diderot (Paris, France) in January 1995. It contains original results as well as review papers covering important domains of mathematical physics, such as modern statistical mechanics, field theory, and quantum groups. The emphasis is on geometrical approaches. Several papers are devoted to the study of symmetry groups, including applications to nonlinear differential equations, and deformation of structures, in particular deformationquantization and quantum groups. The richness of the field of mathematical physics is demonstrated with topics ranging from pure mathematics to uptodate applications such as imaging and neuronal models. Audience: Researchers in mathematical physics
1 edition published in 1995 in English and held by 6 WorldCat member libraries worldwide
This book contains the proceedings of a meeting that brought together friends and colleagues of Guy Rideau at the Université Denis Diderot (Paris, France) in January 1995. It contains original results as well as review papers covering important domains of mathematical physics, such as modern statistical mechanics, field theory, and quantum groups. The emphasis is on geometrical approaches. Several papers are devoted to the study of symmetry groups, including applications to nonlinear differential equations, and deformation of structures, in particular deformationquantization and quantum groups. The richness of the field of mathematical physics is demonstrated with topics ranging from pure mathematics to uptodate applications such as imaging and neuronal models. Audience: Researchers in mathematical physics
The deformation programme in physical theories : usual and unusual deformation quantization : Singleton physics by
M Flato(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
Nonlinear relativistic wave equations in general dimensions by
M Flato(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Abstract: "Given a linear partial differential evolution equation covariant under the action of a Lie group G, one can equate the evolution operator [formula] with a representative of an element of the Lie algebra g of G. The same holds for a nonlinear P.D.E. covariant under G. Here the mathematical apparatus is a Lie theory of nonlinear representations. The linearizability of such equations is tightly connected to certain cohomology spaces. After explaining these facts we shall concentrate on some scalar field equations, for which this framework permits also the treatment of noncovariant interactions, and on a recent result concerning global Cauchy problem, asymptotic completeness and infrared electron tail for the coupled MaxwellDirac (=electrodynamics) equations in physical (1+3) dimensions."
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Abstract: "Given a linear partial differential evolution equation covariant under the action of a Lie group G, one can equate the evolution operator [formula] with a representative of an element of the Lie algebra g of G. The same holds for a nonlinear P.D.E. covariant under G. Here the mathematical apparatus is a Lie theory of nonlinear representations. The linearizability of such equations is tightly connected to certain cohomology spaces. After explaining these facts we shall concentrate on some scalar field equations, for which this framework permits also the treatment of noncovariant interactions, and on a recent result concerning global Cauchy problem, asymptotic completeness and infrared electron tail for the coupled MaxwellDirac (=electrodynamics) equations in physical (1+3) dimensions."
The Spin : PoincaréD Seminar 2007(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
Audience Level
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Kids  General  Special 
Related Identities
 Berenstein, C. Other
 Berry, M. Other
 Tracy, C. Other
 Kaiser, Gerald Other
 Boutet de Monvel, Anne Other Author
 Fokas, A. S. Other
 Blanchard, P. Other
 Eastwood, M. Other
 Marchenko, Vladimir A. Author
 Khruslov, E. I︠A︡ (Evgeniĭ I︠A︡kovlevich) Other
Associated Subjects
Broglie, Louis de, Differential equations, Partial Dynamics Engineering Engineering mathematics Functional analysis Group theory Homogenization (Differential equations) Linear operators Mathematical optimization Mathematical physics Mathematics Physics Quantum statistics Quantum theory Quantum theoryMathematics Spectral theory (Mathematics) Statistical physics Wave equation Wave mechanics