Simon, Barry 1946
Overview
Works:  99 works in 624 publications in 3 languages and 10,930 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other, Thesis advisor, Contributor 
Classifications:  QC20, 530.15 
Publication Timeline
.
Most widely held works about
Barry Simon
 Spectral theory and mathematical physics : a festschrift in honor of Barry Simon's 60th birthday by Conference on Spectral Theory and Mathematical Physics( Book )
Most widely held works by
Barry Simon
Methods of modern mathematical physics by
Michael Reed(
Book
)
174 editions published between 1972 and 2010 in 4 languages and held by 1,614 WorldCat member libraries worldwide
This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially selfcontained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations
174 editions published between 1972 and 2010 in 4 languages and held by 1,614 WorldCat member libraries worldwide
This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially selfcontained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations
Functional integration and quantum physics by
Barry Simon(
Book
)
22 editions published between 1979 and 2005 in English and Undetermined and held by 665 WorldCat member libraries worldwide
The main theme of this classic book is the path integral technique and its applications to constructive methods of quantum physics. The central topic is probabilistic foundations of FeynmanKac formula. Starting with main examples of Gaussian processes, the author presents four different proofs of the FeynmanKac formula
22 editions published between 1979 and 2005 in English and Undetermined and held by 665 WorldCat member libraries worldwide
The main theme of this classic book is the path integral technique and its applications to constructive methods of quantum physics. The central topic is probabilistic foundations of FeynmanKac formula. Starting with main examples of Gaussian processes, the author presents four different proofs of the FeynmanKac formula
Trace ideals and their applications by
Barry Simon(
Book
)
22 editions published between 1979 and 2005 in English and held by 647 WorldCat member libraries worldwide
These expository lectures contain an advanced technical account of a branch of mathematical analysis. In his own lucid and readable style the author begins with a comprehensive review of the methods of bounded operators in a Hilbert space. He then goes on to discuss a wide variety of applications including Fredholm theory and more specifically his own specialty of mathematical quantum theory. included also are an extensive and uptodate list of references enabling the reader to delve more deeply into this topical subject
22 editions published between 1979 and 2005 in English and held by 647 WorldCat member libraries worldwide
These expository lectures contain an advanced technical account of a branch of mathematical analysis. In his own lucid and readable style the author begins with a comprehensive review of the methods of bounded operators in a Hilbert space. He then goes on to discuss a wide variety of applications including Fredholm theory and more specifically his own specialty of mathematical quantum theory. included also are an extensive and uptodate list of references enabling the reader to delve more deeply into this topical subject
Quantum mechanics for Hamiltonians defined as quadratic forms by
Barry Simon(
Book
)
23 editions published between 1970 and 2015 in English and Undetermined and held by 426 WorldCat member libraries worldwide
23 editions published between 1970 and 2015 in English and Undetermined and held by 426 WorldCat member libraries worldwide
Representations of finite and compact groups by
Barry Simon(
Book
)
15 editions published between 1995 and 2008 in English and held by 382 WorldCat member libraries worldwide
15 editions published between 1995 and 2008 in English and held by 382 WorldCat member libraries worldwide
Orthogonal polynomials on the unit circle by
Barry Simon(
Book
)
16 editions published in 2005 in English and held by 343 WorldCat member libraries worldwide
16 editions published in 2005 in English and held by 343 WorldCat member libraries worldwide
The P([Greek letter phi])₂ Euclidean (quantum) field theory by
Barry Simon(
Book
)
38 editions published between 1974 and 1976 in 3 languages and held by 332 WorldCat member libraries worldwide
38 editions published between 1974 and 1976 in 3 languages and held by 332 WorldCat member libraries worldwide
Studies in mathematical physics : essays in honor of Valentine Bargmann by
Elliott H Lieb(
Book
)
11 editions published in 1976 in English and held by 329 WorldCat member libraries worldwide
The inverse rsquared force: an introduction to its symmetries. Certain Hilbert spaces of analytic functions associated with the Heisenberg group. Lower bound for the ground state energy of the Schrodinger equation using the sharp form of young's inequality. Alternative theories of gravitation. Generalized wronskian relation: a novel approach to Bargmannequivalent and phaseequivalent potentials. Old and new approaches to the inverse scattering problem. A family of optimal conditions for the absence of bound states in a potential. Spinning tops in external fields. Measures on the finite dimensional subspaces of a Hilbert space. The Froissart bound and crossing symetry. Intertwining operators for SL. Inequalities for the moments of the Eigenvalues of the Schrodinger Hamiltonian and their relation to Sobolev inequalities. On the number of bound states of two body Schrodinger operators: a review. Quantum dynamics: from automorphism to Hamiltonian. Semiclassical analysis illuminateot of a fi19991222
11 editions published in 1976 in English and held by 329 WorldCat member libraries worldwide
The inverse rsquared force: an introduction to its symmetries. Certain Hilbert spaces of analytic functions associated with the Heisenberg group. Lower bound for the ground state energy of the Schrodinger equation using the sharp form of young's inequality. Alternative theories of gravitation. Generalized wronskian relation: a novel approach to Bargmannequivalent and phaseequivalent potentials. Old and new approaches to the inverse scattering problem. A family of optimal conditions for the absence of bound states in a potential. Spinning tops in external fields. Measures on the finite dimensional subspaces of a Hilbert space. The Froissart bound and crossing symetry. Intertwining operators for SL. Inequalities for the moments of the Eigenvalues of the Schrodinger Hamiltonian and their relation to Sobolev inequalities. On the number of bound states of two body Schrodinger operators: a review. Quantum dynamics: from automorphism to Hamiltonian. Semiclassical analysis illuminateot of a fi19991222
Schrödinger operators, with applications to quantum mechanics and global geometry by
H. L Cycon(
Book
)
9 editions published between 1987 and 2008 in English and held by 316 WorldCat member libraries worldwide
A complete understanding of Schrdinger operators is a necessary prerequisite for unveiling the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it also helps to deepen our insight into global differential geometry. This monograph written for both graduate students and researchers summarizes and synthesizes the theory of Schrdinger operators emphasizing the progress made in the last decade by Lieb, Enss, Witten and others. Besides general properties, the book covers, in particular, multiparticle quantum mechanics including bound states of Coulomb systems and scattering theory, quantum mechanics in constant electric and magnetic fields, Schrdinger operators with random and almost periodic potentials and, finally, Schrdinger operator methods in differential geometry to prove the Morse inequalities and the index theorem
9 editions published between 1987 and 2008 in English and held by 316 WorldCat member libraries worldwide
A complete understanding of Schrdinger operators is a necessary prerequisite for unveiling the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it also helps to deepen our insight into global differential geometry. This monograph written for both graduate students and researchers summarizes and synthesizes the theory of Schrdinger operators emphasizing the progress made in the last decade by Lieb, Enss, Witten and others. Besides general properties, the book covers, in particular, multiparticle quantum mechanics including bound states of Coulomb systems and scattering theory, quantum mechanics in constant electric and magnetic fields, Schrdinger operators with random and almost periodic potentials and, finally, Schrdinger operator methods in differential geometry to prove the Morse inequalities and the index theorem
Convexity : an analytic viewpoint by
Barry Simon(
Book
)
24 editions published between 2011 and 2015 in English and Undetermined and held by 268 WorldCat member libraries worldwide
"Convexity of sets and functions are extremely simple notions to define, so it may be somewhat surprising the depth and breadth of ideas that these notions give rise to. It turns out that convexity is central to a vast number of applied areas, including Statistical Mechanics, Thermodynamics, Mathematical Economics, and Statistics, and that many inequalities, including Hl̲der's and Minkowski's inequalities, are related to convexity. An introductory chapter (1) includes a study of regularity properties of convex functions, some inequalities (Hl̲der, Minkowski, and Jensen), the HahnBanach theorem as a statement about extending tangents to convex functions, and the introduction of two constructions that will play major roles later in this book: the Minkowski gauge of a convex set and the Legendre transform of a function"
24 editions published between 2011 and 2015 in English and Undetermined and held by 268 WorldCat member libraries worldwide
"Convexity of sets and functions are extremely simple notions to define, so it may be somewhat surprising the depth and breadth of ideas that these notions give rise to. It turns out that convexity is central to a vast number of applied areas, including Statistical Mechanics, Thermodynamics, Mathematical Economics, and Statistics, and that many inequalities, including Hl̲der's and Minkowski's inequalities, are related to convexity. An introductory chapter (1) includes a study of regularity properties of convex functions, some inequalities (Hl̲der, Minkowski, and Jensen), the HahnBanach theorem as a statement about extending tangents to convex functions, and the introduction of two constructions that will play major roles later in this book: the Minkowski gauge of a convex set and the Legendre transform of a function"
Spectral theory and mathematical physics : a festschrift in honor of Barry Simon's 60th birthday by Conference on Spectral Theory and Mathematical Physics(
Book
)
20 editions published in 2007 in English and held by 255 WorldCat member libraries worldwide
20 editions published in 2007 in English and held by 255 WorldCat member libraries worldwide
The statistical mechanics of lattice gases by
Barry Simon(
Book
)
18 editions published between 1993 and 2014 in English and Undetermined and held by 246 WorldCat member libraries worldwide
18 editions published between 1993 and 2014 in English and Undetermined and held by 246 WorldCat member libraries worldwide
Spectral analysis, differential equations, and mathematical physics : a festschrift in honor of Fritz Gesztesy's 60th birthday by
H Holden(
Book
)
9 editions published in 2013 in English and held by 183 WorldCat member libraries worldwide
9 editions published in 2013 in English and held by 183 WorldCat member libraries worldwide
Szegő's theorem and its descendants : spectral theory for L² perturbations of orthogonal polynomials by
Barry Simon(
Book
)
17 editions published between 2010 and 2011 in English and Undetermined and held by 149 WorldCat member libraries worldwide
This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic functions on hyperelliptic surfaces and the study of covering maps of the Riemann sphere with a finite number of slits removed. This allows for the first booklength treatment of orthogonal polynomia
17 editions published between 2010 and 2011 in English and Undetermined and held by 149 WorldCat member libraries worldwide
This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic functions on hyperelliptic surfaces and the study of covering maps of the Riemann sphere with a finite number of slits removed. This allows for the first booklength treatment of orthogonal polynomia
IXth International Congress on Mathematical Physics : 1727 July 1988, Swansea, UK by
1988, Swansea) International Congress on Mathematical Physics (9(
Book
)
14 editions published in 1989 in English and Undetermined and held by 148 WorldCat member libraries worldwide
14 editions published in 1989 in English and Undetermined and held by 148 WorldCat member libraries worldwide
Multiparticle quantum scattering with applications to nuclear, atomic, and molecular physics by
Donald G Truhlar(
Book
)
9 editions published in 1997 in English and held by 145 WorldCat member libraries worldwide
The topics in this volume include the ideas of mathematicians, physicists and chemists in the area of multiparticle scattering theory. Scattering theory (or collision theory as it is often called) is a fundamental area of theory and computation in both physics and chemistry. The correct formulation of scattering theory for twobody collisions is now well worked out, but systems with three or more particles still present fundamental unmet challenges, both in the formulations of the problem and in the interpretation of computational results. A key issue in the mathematical foundations is asymptotic completeness, which says that any state of a quantum system is a superposition of bound and scattering states. Key issues on the physical side are concerned with boundary conditions, electromagnetic fields, effective potentials and resonances
9 editions published in 1997 in English and held by 145 WorldCat member libraries worldwide
The topics in this volume include the ideas of mathematicians, physicists and chemists in the area of multiparticle scattering theory. Scattering theory (or collision theory as it is often called) is a fundamental area of theory and computation in both physics and chemistry. The correct formulation of scattering theory for twobody collisions is now well worked out, but systems with three or more particles still present fundamental unmet challenges, both in the formulations of the problem and in the interpretation of computational results. A key issue in the mathematical foundations is asymptotic completeness, which says that any state of a quantum system is a superposition of bound and scattering states. Key issues on the physical side are concerned with boundary conditions, electromagnetic fields, effective potentials and resonances
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Related Identities
 Reed, Michael 1942 Author
 Gesztesy, Fritz 1953 Dedicatee Editor
 Wightman, A. S. (Arthur Strong) 19222013 Contributor Editor
 Lieb, Elliott H. Contributor Author Editor
 Bargmann, V. (Valentine) 19081989 Contributor Dedicatee
 Cycon, H. L. (Hans Ludwig) 1942 Author
 Leonhard, Woody Author
 Beiglböck, E. 1939
 Teschl, Gerald 1970 Editor
 Holden, H. (Helge) 1956 Editor
Useful Links
Associated Subjects
Bargmann, V.(Valentine), ChemistryMathematics Compact groups Computer scienceMathematics Convex domains Differential equations Finite groups Forms, Quadratic Fourier analysis Functional analysis Global differential geometry Hamiltonian operator Hilbert space Ideals (Algebra) Integration, Functional Lattice gas Manybody problem Mathematical analysis Mathematical physics Mathematical physicsAsymptotic theory Mathematics Multiple scattering (Physics) Operator theory Orthogonal polynomials Physics Quantum computing Quantum field theory Quantum theory Representations of groups Scattering (Mathematics) Scattering (Physics) Schrödinger operator Spectral theory (Mathematics) Statistical mechanics
Alternative Names
Barry Simon Amerikaans wiskundige
Barry Simon amerikai matematikus, fizikus.
Barry Simon amerikansk fysiker och matematiker
Barry Simon amerikansk fysiker og matematiker
Barry Simon USamerikanischer Mathematiker und Physiker
Saĭmon, B. 1946
Saĭmon, B. (Barri), 1946
Saĭmon, Barri 1946
Sajmon, B.
Sajmon, B. 1946
Sajmon, Barry 1946
Simon, B.
Simon, B. 1946
Simon, B. (Barry), 1946
Simon, Barry
Баррі Саймон
Саймон, Б.
Саймон, Б 1946
Саймон, Б. (Барри), 1946
בארי סימון
بری سیمون ریاضیدان و فیزیکدان آمریکایی
巴里·西蒙
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