Lieb, Elliott H.
Overview
Works:  60 works in 249 publications in 5 languages and 3,641 library holdings 

Roles:  Author, Editor, Honoree, Adapter, Author of introduction, Other, Compiler, Contributor 
Classifications:  QC173.4.T48, 515 
Publication Timeline
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Most widely held works about
Elliott H Lieb
 [Special issue dedicated to Elliott H. Lieb on the occasion of his sixtieth birthday]( Book )
 Special issue in honor of Elliott Lieb's 70th birthday( Book )
Most widely held works by
Elliott H Lieb
Mathematical physics in one dimension; exactly soluble models of interacting particles by
Elliott H Lieb(
Book
)
29 editions published between 1962 and 2013 in 4 languages and held by 512 WorldCat member libraries worldwide
Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles covers problems of mathematical physics with onedimensional analogs. The book discusses classical statistical mechanics and phase transitions; the disordered chain of harmonic oscillators; and electron energy bands in ordered and disordered crystals. The text also describes the manyfermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the timedependent phenomena of manybody systems (i.e., classical or quantummechanical dynamics). Physicists and
29 editions published between 1962 and 2013 in 4 languages and held by 512 WorldCat member libraries worldwide
Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles covers problems of mathematical physics with onedimensional analogs. The book discusses classical statistical mechanics and phase transitions; the disordered chain of harmonic oscillators; and electron energy bands in ordered and disordered crystals. The text also describes the manyfermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the timedependent phenomena of manybody systems (i.e., classical or quantummechanical dynamics). Physicists and
Analysis by
Elliott H Lieb(
Book
)
16 editions published between 1996 and 1997 in English and held by 466 WorldCat member libraries worldwide
16 editions published between 1996 and 1997 in English and held by 466 WorldCat member libraries worldwide
Analysis by
Elliott H Lieb(
Book
)
17 editions published between 2001 and 2013 in English and Undetermined and held by 387 WorldCat member libraries worldwide
17 editions published between 2001 and 2013 in English and Undetermined and held by 387 WorldCat member libraries worldwide
Studies in mathematical physics : essays in honor of Valentine Bargmann by
Elliott H Lieb(
Book
)
22 editions published between 1976 and 2015 in English and Italian and held by 356 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
22 editions published between 1976 and 2015 in English and Italian and held by 356 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
The stability of matter in quantum mechanics by
Elliott H Lieb(
Book
)
13 editions published between 2009 and 2010 in English and held by 268 WorldCat member libraries worldwide
"Research into the stability of matter has been one of the most successful chapters in mathematical physics, and is a prime example of how modern mathematics can be applied to problems in physics. A unique account of the subject, this book provides a complete, selfcontained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physicists. The topics covered include electrodynamics of classical and quantized fields, LiebThirring and other inequalities in spectral theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational stability of stars, basics of equilibrium statistical mechanics, and the existence of the thermodynamic limit. The book is an uptodate account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics"Provided by publisher
13 editions published between 2009 and 2010 in English and held by 268 WorldCat member libraries worldwide
"Research into the stability of matter has been one of the most successful chapters in mathematical physics, and is a prime example of how modern mathematics can be applied to problems in physics. A unique account of the subject, this book provides a complete, selfcontained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physicists. The topics covered include electrodynamics of classical and quantized fields, LiebThirring and other inequalities in spectral theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational stability of stars, basics of equilibrium statistical mechanics, and the existence of the thermodynamic limit. The book is an uptodate account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics"Provided by publisher
Inequalities : selecta of Elliott H. Lieb by
Elliott H Lieb(
Book
)
12 editions published between 2002 and 2013 in English and Spanish and held by 225 WorldCat member libraries worldwide
Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E.H. Lieb has discovered a host of inequalities that are enormously useful in mathematics as well as in physics. His results are collected in this book which should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics
12 editions published between 2002 and 2013 in English and Spanish and held by 225 WorldCat member libraries worldwide
Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E.H. Lieb has discovered a host of inequalities that are enormously useful in mathematics as well as in physics. His results are collected in this book which should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics
The mathematics of the Bose gas and its condensation by
Elliott H Lieb(
Book
)
21 editions published between 2005 and 2006 in English and held by 200 WorldCat member libraries worldwide
"This book contains a unique survey of the mathematically rigorous results about the quantummechanical manybody problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultracold Bose gases and BoseEinstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers."Jacket
21 editions published between 2005 and 2006 in English and held by 200 WorldCat member libraries worldwide
"This book contains a unique survey of the mathematically rigorous results about the quantummechanical manybody problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultracold Bose gases and BoseEinstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers."Jacket
Statistical mechanics : selecta of Elliott H. Lieb by
Elliott H Lieb(
Book
)
8 editions published between 2004 and 2011 in English and held by 154 WorldCat member libraries worldwide
In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not being content until the purported consequences have been shown, by rigorous analysis, to follow from the premises. The present volume contains a selection of his contributions to the field, in particular papers dealing with general properties of Coulomb systems, phase transitions in systems with a continuous symmetry, lattice crystals, and entropy inequalities. It also includes work on classical thermodynamics, a discipline that, despite many claims to the contrary, is logically independent of statistical mechanics and deserves a rigorous and unambiguous foundation of its own. The articles in this volume have been carefully annotated by the editors
8 editions published between 2004 and 2011 in English and held by 154 WorldCat member libraries worldwide
In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not being content until the purported consequences have been shown, by rigorous analysis, to follow from the premises. The present volume contains a selection of his contributions to the field, in particular papers dealing with general properties of Coulomb systems, phase transitions in systems with a continuous symmetry, lattice crystals, and entropy inequalities. It also includes work on classical thermodynamics, a discipline that, despite many claims to the contrary, is logically independent of statistical mechanics and deserves a rigorous and unambiguous foundation of its own. The articles in this volume have been carefully annotated by the editors
Condensed matter physics and exactly soluble models : selecta of Elliott H. Lieb by Elliott H Lieb(
Book
)
9 editions published between 2004 and 2011 in English and held by 147 WorldCat member libraries worldwide
The first part of this book contains E. Lieb's fundamental contributions to the mathematical theory of Condensed Matter Physics. Often considered the founding father of the field, E. Lieb demonstrates his ability to select the most important issues and to formulate them as welldefined mathematical problems and, finally, to solve them. The second part presents Lieb's work on integrable models. His groundbreaking articles helped to establish Exactly Soluble Models as a flourishing research field in its own right. The papers collected in this volume have also been carefully annotated by the editors
9 editions published between 2004 and 2011 in English and held by 147 WorldCat member libraries worldwide
The first part of this book contains E. Lieb's fundamental contributions to the mathematical theory of Condensed Matter Physics. Often considered the founding father of the field, E. Lieb demonstrates his ability to select the most important issues and to formulate them as welldefined mathematical problems and, finally, to solve them. The second part presents Lieb's work on integrable models. His groundbreaking articles helped to establish Exactly Soluble Models as a flourishing research field in its own right. The papers collected in this volume have also been carefully annotated by the editors
The state of matter : a volume dedicated to E.H. Lieb(
Book
)
7 editions published in 1994 in English and held by 112 WorldCat member libraries worldwide
7 editions published in 1994 in English and held by 112 WorldCat member libraries worldwide
Violation of the noncrossing rule: the Hubbard Hamiltonian for benzene [by] Ole J. Heilmann and Elliott H. Lieb by
Ole J Heilmann(
Book
)
10 editions published in 1971 in English and held by 33 WorldCat member libraries worldwide
10 editions published in 1971 in English and held by 33 WorldCat member libraries worldwide
The stability of matter : from atoms to stars : selecta of Elliott H. Lieb by
Elliott H Lieb(
Book
)
11 editions published between 1991 and 2005 in English and German and held by 28 WorldCat member libraries worldwide
Publications of Elliot H. Lieb
11 editions published between 1991 and 2005 in English and German and held by 28 WorldCat member libraries worldwide
Publications of Elliot H. Lieb
The physics and mathematics of the second law of thermodynamics by
Elliott H Lieb(
Book
)
5 editions published in 1999 in English and held by 12 WorldCat member libraries worldwide
5 editions published in 1999 in English and held by 12 WorldCat member libraries worldwide
Generalized HartreeFock theory and the Hubbard model by
Volker Bach(
Book
)
3 editions published in 1993 in English and German and held by 6 WorldCat member libraries worldwide
3 editions published in 1993 in English and German and held by 6 WorldCat member libraries worldwide
Ground state energy of the onecomponent charged Bose gas by
Elliott H Lieb(
Book
)
5 editions published in 2000 in English and held by 6 WorldCat member libraries worldwide
5 editions published in 2000 in English and held by 6 WorldCat member libraries worldwide
Stability and instability of relativistic electrons in classical electromagnetic fields by
Elliott H Lieb(
Book
)
3 editions published in 1996 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 5 WorldCat member libraries worldwide
The ground state of the bose gas by
Elliott H Lieb(
Book
)
3 editions published in 2002 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 2002 in English and held by 4 WorldCat member libraries worldwide
Colloque extraordinaire de physique mathématique by
Elliott H Lieb(
Book
)
1 edition published in 1994 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 4 WorldCat member libraries worldwide
R. C. P. 25. conférences by
Pierre Lelong(
Book
)
1 edition published in 1973 in Multiple languages and held by 4 WorldCat member libraries worldwide
1 edition published in 1973 in Multiple languages and held by 4 WorldCat member libraries worldwide
Flat forms, biLipschitz parametrizations, and smoothability of manifolds by
Juha Heinonen(
Book
)
3 editions published in 2011 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 2011 in English and held by 4 WorldCat member libraries worldwide
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Related Identities
 Loss, Michael 1954 Editor
 Mattis, Daniel Charles 1932 Editor
 Seiringer, Robert
 Wightman, A. S. (Arthur Strong) 19222013 Contributor Editor
 Simon, Barry 1946 Contributor Editor
 Bargmann, V. (Valentine) 19081989 Honoree Contributor Dedicatee
 Solovej, Jan Philip Editor
 Jakob Yngvason Editor
 Nachtergaele, Bruno Editor
 Ruskai, Mary Beth Editor
Useful Links
Associated Subjects
Bargmann, V.(Valentine), Benzene BenzeneAnalysis BoseEinstein condensation Chemistry, Physical and theoretical Condensed matter Condensed matterMathematical models Functional analysis Global analysis (Mathematics) Holomorphic functions Homology theory Inequalities (Mathematics) Manifolds (Mathematics) Manybody problem Mathematical analysis Mathematical models Mathematical optimization Mathematical physics Mathematics MatterProperties Physics Quantum chemistry Quantum theory Stability Statistical mechanics Statistical physics Structural stability Thermodynamics ThomasFermi theory
Alternative Names
Elliot Lieb profesor matematiky
Elliott H. Lieb Amerikaans wiskundige
Elliott H. Lieb amerikansk fysikar og matematikar
Elliott H. Lieb amerikansk fysiker och matematiker
Elliott H. Lieb amerikansk fysiker og matematiker
Elliott H. Lieb matematico e fisico statunitense
Elliott Lieb physicien américain
Elliott Lieb USamerikanischer Physiker, Hochschullehrer für Mathematik
Lib, È.
Lieb, E.
Lieb, E. 1932
Lieb, E. H.
Lieb, E.H. 1932
Lieb, E. H. (Elliott H.)
Lieb, Elliott 1932
Lieb, Elliott H.
Lieb, Elliott Herschel 1932
Либ, Элиотт.
الیوت اچ لیب ریاضیدان و فیزیکدان آمریکایی
エリオット・リーブ
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