Simon, Barry 1946
Overview
Works:  188 works in 670 publications in 3 languages and 9,048 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Honoree, Dedicatee, Other, Thesis advisor, Producer, Director 
Classifications:  QC20.7.S64, 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 : a conference on spectral theory and mathematical physics in honor of Barry Simon's 60th birthday March 2731 2006, California Institute of Technology Pasadena, California ( )
 This volume is dedicated to Barry Simon on the occasion of his sixtieth birthday ( )
Most widely held works by
Barry Simon
Szegő's theorem and its descendants spectral theory for L2 perturbations of orthogonal polynomials
by
Barry Simon(
)
16 editions published between 2010 and 2011 in English and Undetermined and held by 1,075 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
16 editions published between 2010 and 2011 in English and Undetermined and held by 1,075 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
Methods of modern mathematical physics
by
Michael Reed(
Book
)
39 editions published between 1972 and 1992 in 3 languages and held by 1,074 WorldCat member libraries worldwide
Methods of Modern Mathematical Physics
39 editions published between 1972 and 1992 in 3 languages and held by 1,074 WorldCat member libraries worldwide
Methods of Modern Mathematical Physics
Functional integration and quantum physics
by
Barry Simon(
Book
)
24 editions published between 1979 and 2008 in English and Undetermined and held by 769 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
24 editions published between 1979 and 2008 in English and Undetermined and held by 769 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 657 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 657 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
)
13 editions published between 1970 and 1971 in English and held by 401 WorldCat member libraries worldwide
13 editions published between 1970 and 1971 in English and held by 401 WorldCat member libraries worldwide
Convexity : an analytic viewpoint
by
Barry Simon(
Book
)
20 editions published between 2011 and 2012 in English and Undetermined and held by 380 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"
20 editions published between 2011 and 2012 in English and Undetermined and held by 380 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"
Representations of finite and compact groups
by
Barry Simon(
Book
)
12 editions published between 1995 and 2008 in English and held by 360 WorldCat member libraries worldwide
12 editions published between 1995 and 2008 in English and held by 360 WorldCat member libraries worldwide
Schrödinger operators, with applications to quantum mechanics and global geometry
by
H. L Cycon(
Book
)
8 editions published between 1987 and 2008 in English and held by 336 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
8 editions published between 1987 and 2008 in English and held by 336 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
Methods of modern mathematical physics
by
Michael Reed(
Book
)
53 editions published between 1972 and 2010 in English and Undetermined and held by 325 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
53 editions published between 1972 and 2010 in English and Undetermined and held by 325 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
Studies in mathematical physics : essays in honor of Valentine Bargmann
(
Book
)
6 editions published in 1976 in English and held by 320 WorldCat member libraries worldwide
6 editions published in 1976 in English and held by 320 WorldCat member libraries worldwide
Orthogonal polynomials on the unit circle
by
Barry Simon(
Book
)
9 editions published between 2004 and 2005 in English and held by 299 WorldCat member libraries worldwide
9 editions published between 2004 and 2005 in English and held by 299 WorldCat member libraries worldwide
The P([Greek letter phi])₂ Euclidean (quantum) field theory
by
Barry Simon(
Book
)
28 editions published in 1974 in English and Undetermined and held by 294 WorldCat member libraries worldwide
28 editions published in 1974 in English and Undetermined and held by 294 WorldCat member libraries worldwide
The statistical mechanics of lattice gases
by
Barry Simon(
Book
)
21 editions published between 1993 and 2014 in English and held by 257 WorldCat member libraries worldwide
21 editions published between 1993 and 2014 in English and held by 257 WorldCat member libraries worldwide
Spectral theory and mathematical physics : a festschrift in honor of Barry Simon's 60th birthday
by Conference on spectral theory and mathematical physics in honor of Barry Simon's 60th birthday(
Book
)
8 editions published in 2007 in English and held by 215 WorldCat member libraries worldwide
8 editions published in 2007 in English and held by 215 WorldCat member libraries worldwide
Spectral analysis, differential equations, and mathematical physics : a festschrift in honor of Fritz Gesztesy's 60th birthday
(
Book
)
9 editions published in 2013 in English and held by 191 WorldCat member libraries worldwide
9 editions published in 2013 in English and held by 191 WorldCat member libraries worldwide
Quasiclassical methods
by
Jeffrey Rauch(
Book
)
6 editions published in 1997 in English and held by 169 WorldCat member libraries worldwide
The chapters in this volume explore the various aspects of quasiclassical methods such as approximate theories for large Coulomb systems, Schroedinger operator with magnetic wells, ground state energy of heavy molecules in strong magnetic field, and methods with emphasis on coherent states. Included are also mathematical theories dealing with hpseudodifferential operators, asymptotic distribution of eigenvalues in gaps, a proof of the strong Scott conjecture, Lieb Thirring inequalities for the Pauli operator, and local trace formulae
6 editions published in 1997 in English and held by 169 WorldCat member libraries worldwide
The chapters in this volume explore the various aspects of quasiclassical methods such as approximate theories for large Coulomb systems, Schroedinger operator with magnetic wells, ground state energy of heavy molecules in strong magnetic field, and methods with emphasis on coherent states. Included are also mathematical theories dealing with hpseudodifferential operators, asymptotic distribution of eigenvalues in gaps, a proof of the strong Scott conjecture, Lieb Thirring inequalities for the Pauli operator, and local trace formulae
Multiparticle quantum scattering with applications to nuclear, atomic, and molecular physics
by
Donald G Truhlar(
Book
)
5 editions published in 1997 in English and held by 163 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
5 editions published in 1997 in English and held by 163 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
)
14 editions published between 1975 and 2007 in English and held by 138 WorldCat member libraries worldwide
Band 2
14 editions published between 1975 and 2007 in English and held by 138 WorldCat member libraries worldwide
Band 2
The mother of all Windows 98 books
by
Woody Leonhard(
Book
)
4 editions published in 1999 in English and held by 123 WorldCat member libraries worldwide
MOM98 illustrates how  and more important, why  things work (or don't work), enabling even novices to quickly become wizards with Win98. Written in plain language, MOM98 is packed with insight, unique tips, and shortcuts so you can customize and finetune Win98 to reap the maximum benefits of this powerful new operating system
4 editions published in 1999 in English and held by 123 WorldCat member libraries worldwide
MOM98 illustrates how  and more important, why  things work (or don't work), enabling even novices to quickly become wizards with Win98. Written in plain language, MOM98 is packed with insight, unique tips, and shortcuts so you can customize and finetune Win98 to reap the maximum benefits of this powerful new operating system
Analysis of operators
by
Michael Reed(
Book
)
14 editions published between 1972 and 2005 in English and held by 122 WorldCat member libraries worldwide
Band 4
14 editions published between 1972 and 2005 in English and held by 122 WorldCat member libraries worldwide
Band 4
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Related Identities
 Reed, Michael 1942 Author
 Gesztesy, Fritz 1953 Dedicatee Editor
 Reed, Michael Author
 Leonhard, Woody Author
 Cycon, H. L. (Hans Ludwig) 1942 Author
 Wightman, A. S. (Arthur Strong) 19222013 Editor
 Lieb, Elliott H. Author Editor
 Bargmann, V. (Valentine) 19081989 Dedicatee
 Beiglböck, E. 1939
 Teschl, Gerald 1970 Editor
Useful Links
Associated Subjects
Bargmann, V.(Valentine), ChemistryMathematics Compact groups Computer scienceMathematics Convex domains Differential equations Differential equationsNumerical solutions Finite groups Forms, Quadratic Functional analysis Global analysis (Mathematics) Global differential geometry Hamiltonian operator Hilbert space Ideals (Algebra) Integration, Functional Lattice gas Manybody problem Mathematical analysis Mathematical physics Mathematical physicsAsymptotic theory Mathematics Microsoft Windows (Computer file) Multiple scattering (Physics) Operating systems (Computers) Operator theory Orthogonal polynomials Quantum field theory Quantum theory Representations of groups Scattering (Physics) Schrödinger operator Spectral theory (Mathematics) Statistical mechanics
Alternative Names
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
Саймон, Б.
Саймон, Б 1946
Саймон, Б. (Барри), 1946
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Covers