Simon, Barry 1946
Overview
Works:  119 works in 816 publications in 3 languages and 12,713 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Dedicatee, 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
)
139 editions published between 1972 and 2010 in 4 languages and held by 840 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
139 editions published between 1972 and 2010 in 4 languages and held by 840 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
)
32 editions published between 1979 and 2008 in English and Undetermined and held by 733 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
32 editions published between 1979 and 2008 in English and Undetermined and held by 733 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
Methods of modern mathematical physics by
Michael Reed(
Book
)
12 editions published between 1972 and 1980 in English and held by 702 WorldCat member libraries worldwide
12 editions published between 1972 and 1980 in English and held by 702 WorldCat member libraries worldwide
Trace ideals and their applications by
Barry Simon(
Book
)
28 editions published between 1979 and 2014 in English and held by 669 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
28 editions published between 1979 and 2014 in English and held by 669 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
)
22 editions published between 1970 and 2016 in English and Undetermined and held by 414 WorldCat member libraries worldwide
This monograph combines a thorough introduction to the mathematical foundations of nbody Schrodinger mechanics with numerous new results.Originally published in 1971.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
22 editions published between 1970 and 2016 in English and Undetermined and held by 414 WorldCat member libraries worldwide
This monograph combines a thorough introduction to the mathematical foundations of nbody Schrodinger mechanics with numerous new results.Originally published in 1971.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Representations of finite and compact groups by
Barry Simon(
Book
)
18 editions published between 1900 and 2008 in English and held by 399 WorldCat member libraries worldwide
18 editions published between 1900 and 2008 in English and held by 399 WorldCat member libraries worldwide
Orthogonal polynomials on the unit circle by
Barry Simon(
Book
)
18 editions published between 2005 and 2009 in English and Undetermined and held by 338 WorldCat member libraries worldwide
This twopart book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of onedimensional Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szegő's theorems), limit theorems for the density of the zeros of orthogonal po
18 editions published between 2005 and 2009 in English and Undetermined and held by 338 WorldCat member libraries worldwide
This twopart book is a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of onedimensional Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szegő's theorems), limit theorems for the density of the zeros of orthogonal po
Studies in mathematical physics : essays in honor of Valentine Bargmann by
Elliott H Lieb(
Book
)
12 editions published in 1976 in English and held by 331 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
12 editions published in 1976 in English and held by 331 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
)
10 editions published between 1987 and 2008 in English and held by 318 WorldCat member libraries worldwide
A complete understanding of Schrödinger 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 Schrödinger 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, Schrödinger operators with random and almost periodic potentials and, finally, Schrödinger operator methods in differential geometry to prove the Morse inequalities and the index theorem
10 editions published between 1987 and 2008 in English and held by 318 WorldCat member libraries worldwide
A complete understanding of Schrödinger 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 Schrödinger 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, Schrödinger operators with random and almost periodic potentials and, finally, Schrödinger 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 277 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 Hlḏer's and Minkowski's inequalities, are related to convexity. An introductory chapter (1) includes a study of regularity properties of convex functions, some inequalities (Hlḏer, 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 277 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 Hlḏer's and Minkowski's inequalities, are related to convexity. An introductory chapter (1) includes a study of regularity properties of convex functions, some inequalities (Hlḏer, 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
)
25 editions published in 2007 in English and held by 275 WorldCat member libraries worldwide
25 editions published in 2007 in English and held by 275 WorldCat member libraries worldwide
The P([Greek letter phi])₂ Euclidean (quantum) field theory by
Barry Simon(
Book
)
27 editions published in 1974 in English and Undetermined and held by 274 WorldCat member libraries worldwide
27 editions published in 1974 in English and Undetermined and held by 274 WorldCat member libraries worldwide
The statistical mechanics of lattice gases by
Barry Simon(
Book
)
7 editions published in 1993 in English and held by 202 WorldCat member libraries worldwide
7 editions published in 1993 in English and held by 202 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 185 WorldCat member libraries worldwide
9 editions published in 2013 in English and held by 185 WorldCat member libraries worldwide
Szegő's theorem and its descendants : spectral theory for L² perturbations of orthogonal polynomials by
Barry Simon(
Book
)
19 editions published between 2010 and 2011 in English and Undetermined and held by 153 WorldCat member libraries worldwide
This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gabor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical backgrund 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 polynomials for measures supported on a finite number of intervals on the real line
19 editions published between 2010 and 2011 in English and Undetermined and held by 153 WorldCat member libraries worldwide
This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gabor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical backgrund 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 polynomials for measures supported on a finite number of intervals on the real line
Quasiclassical methods by
Avner Friedman(
Book
)
6 editions published in 1997 in English and held by 152 WorldCat member libraries worldwide
6 editions published in 1997 in English and held by 152 WorldCat member libraries worldwide
Multiparticle quantum scattering with applications to nuclear, atomic, and molecular physics by
Donald G Truhlar(
Book
)
8 editions published in 1997 in English and held by 147 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
8 editions published in 1997 in English and held by 147 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
Fourier analysis, selfadjointness by
Michael Reed(
Book
)
17 editions published between 1975 and 2007 in English and held by 146 WorldCat member libraries worldwide
Band 2
17 editions published between 1975 and 2007 in English and held by 146 WorldCat member libraries worldwide
Band 2
Methods of modern mathematical physics by
Michael Reed(
Book
)
40 editions published between 1972 and 2003 in English and Italian and held by 131 WorldCat member libraries worldwide
40 editions published between 1972 and 2003 in English and Italian and held by 131 WorldCat member libraries worldwide
The statistical mechanics of lattice gases by
Barry Simon(
Book
)
10 editions published between 1993 and 2016 in English and Undetermined and held by 34 WorldCat member libraries worldwide
A stateoftheart survey of both classical and quantum lattice gas models, this twovolume work will cover the rigorous mathematical studies of such models as the Ising and Heisenberg, an area in which scientists have made enormous strides during the past twentyfive years. This first volume addresses, among many topics, the mathematical background on convexity and Choquet theory, and presents an exhaustive study of the pressure including the Onsager solution of the twodimensional Ising model, a study of the general theory of states in classical and quantum spin systems, and a study of high and low temperature expansions. The second volume will deal with the Peierls construction, infrared bounds, LeeYang theorems, and correlation inequality.This comprehensive work will be a useful reference not only to scientists working in mathematical statistical mechanics but also to those in related disciplines such as probability theory, chemical physics, and quantum field theory. It can also serve as a textbook for advanced graduate students.Originally published in 1993.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
10 editions published between 1993 and 2016 in English and Undetermined and held by 34 WorldCat member libraries worldwide
A stateoftheart survey of both classical and quantum lattice gas models, this twovolume work will cover the rigorous mathematical studies of such models as the Ising and Heisenberg, an area in which scientists have made enormous strides during the past twentyfive years. This first volume addresses, among many topics, the mathematical background on convexity and Choquet theory, and presents an exhaustive study of the pressure including the Onsager solution of the twodimensional Ising model, a study of the general theory of states in classical and quantum spin systems, and a study of high and low temperature expansions. The second volume will deal with the Peierls construction, infrared bounds, LeeYang theorems, and correlation inequality.This comprehensive work will be a useful reference not only to scientists working in mathematical statistical mechanics but also to those in related disciplines such as probability theory, chemical physics, and quantum field theory. It can also serve as a textbook for advanced graduate students.Originally published in 1993.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
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Related Identities
 Reed, Michael 1942 Author
 Gesztesy, Fritz 1953 Other Dedicatee Editor
 Wightman, A. S. (Arthur Strong) 19222013 Contributor Author 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 Differential equationsNumerical solutions 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 Science 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 matemático estadounidense
Barry Simon matematico statunitense
Barry Simon mathématicien américain
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
בארי סימון מתמטיקאי אמריקאי
باري سيمون رياضياتي أمريكي
بری سیمون ریاضیدان و فیزیکدان آمریکایی
巴里·西蒙
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