Lieb, Elliott H.
Overview
Works:  60 works in 251 publications in 5 languages and 4,533 library holdings 

Roles:  Author, Editor, Adapter, Honoree, Author of introduction 
Classifications:  QC173.4.T48, 539.1 
Publication Timeline
.
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
The stability of matter from atoms to stars : selecta of Elliott H. Lieb by
Elliott H Lieb(
)
46 editions published between 1991 and 2006 in English and German and held by 1,217 WorldCat member libraries worldwide
This collection of papers  starting with a brilliant review article by one of the masters of the field  gives an excellent view of our present knowledge of matter. Partially basing his work on a variational formulation of quantum mechanics E.H. Lieb links the difficult question of stability of matter with deep problems of functional analysis. In this collection the reader will find general results together with deep insights into quantum systems combined in papers on the structure of atoms and molecules, on the thermodynamics limit, and on stellar structure. The book is suitable as an accompanying text for a graduate course in quantum mechanics
46 editions published between 1991 and 2006 in English and German and held by 1,217 WorldCat member libraries worldwide
This collection of papers  starting with a brilliant review article by one of the masters of the field  gives an excellent view of our present knowledge of matter. Partially basing his work on a variational formulation of quantum mechanics E.H. Lieb links the difficult question of stability of matter with deep problems of functional analysis. In this collection the reader will find general results together with deep insights into quantum systems combined in papers on the structure of atoms and molecules, on the thermodynamics limit, and on stellar structure. The book is suitable as an accompanying text for a graduate course in quantum mechanics
Analysis by
Elliott H Lieb(
Book
)
26 editions published between 1996 and 2010 in English and Undetermined and held by 814 WorldCat member libraries worldwide
26 editions published between 1996 and 2010 in English and Undetermined and held by 814 WorldCat member libraries worldwide
The mathematics of the Bose gas and its condensation by
Elliott H Lieb(
)
20 editions published between 2005 and 2006 in English and held by 552 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
20 editions published between 2005 and 2006 in English and held by 552 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
Mathematical physics in one dimension; exactly soluble models of interacting particles by
Elliott H Lieb(
Book
)
28 editions published between 1962 and 2013 in 4 languages and held by 536 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
28 editions published between 1962 and 2013 in 4 languages and held by 536 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
Studies in mathematical physics : essays in honor of Valentine Bargmann(
Book
)
7 editions published in 1976 in English and held by 328 WorldCat member libraries worldwide
7 editions published in 1976 in English and held by 328 WorldCat member libraries worldwide
The stability of matter in quantum mechanics by
Elliott H Lieb(
Book
)
12 editions published between 2009 and 2010 in English and held by 311 WorldCat member libraries worldwide
"Despite the great success of quantum mechanics in explaining details of the structure of atoms, molecules (including the complicated molecules beloved of organic chemists and the pharmaceutical industry, and so essential to life) and macroscopic objects like transistors, it took 41 years before the most fundamental question of all was resolved: Why doesn't the collection of negatively charged electrons and positively charged nuclei, which are the basic constituents of the theory, implode into a minuscule mass of amorphous matter thousands of times denser than the material normally seen in our world? It is this stability question that will occupy us in this book. After four decades of development of this subject, during which most of the basic questions have gradually been answered, it seems appropriate to present a thorough review of the material at this time"Résumé de l'éditeur
12 editions published between 2009 and 2010 in English and held by 311 WorldCat member libraries worldwide
"Despite the great success of quantum mechanics in explaining details of the structure of atoms, molecules (including the complicated molecules beloved of organic chemists and the pharmaceutical industry, and so essential to life) and macroscopic objects like transistors, it took 41 years before the most fundamental question of all was resolved: Why doesn't the collection of negatively charged electrons and positively charged nuclei, which are the basic constituents of the theory, implode into a minuscule mass of amorphous matter thousands of times denser than the material normally seen in our world? It is this stability question that will occupy us in this book. After four decades of development of this subject, during which most of the basic questions have gradually been answered, it seems appropriate to present a thorough review of the material at this time"Résumé de l'éditeur
Inequalities : selecta of Elliott H. Lieb by
Elliott H Lieb(
Book
)
9 editions published between 2002 and 2003 in English and held by 215 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
9 editions published between 2002 and 2003 in English and held by 215 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
Condensed matter physics and exactly soluble models : selecta of Elliott H. Lieb by
Elliott H Lieb(
Book
)
8 editions published between 2004 and 2011 in English and held by 158 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
8 editions published between 2004 and 2011 in English and held by 158 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
Statistical mechanics : selecta of Elliott H. Lieb by
Elliott H Lieb(
Book
)
7 editions published between 2004 and 2011 in English and held by 149 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
7 editions published between 2004 and 2011 in English and held by 149 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
The state of matter : a volume dedicated to E.H. Lieb by M Aizenman(
Book
)
5 editions published in 1994 in English and held by 116 WorldCat member libraries worldwide
5 editions published in 1994 in English and held by 116 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
)
8 editions published in 1971 in English and held by 30 WorldCat member libraries worldwide
8 editions published in 1971 in English and held by 30 WorldCat member libraries worldwide
The physics and mathematics of the second law of thermodynamics by
Elliott H Lieb(
Book
)
4 editions published in 1999 in English and held by 12 WorldCat member libraries worldwide
4 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 5 WorldCat member libraries worldwide
3 editions published in 1993 in English and German and held by 5 WorldCat member libraries worldwide
Ground state energy of the onecomponent charged Bose gas by
Elliott H Lieb(
Book
)
4 editions published in 2000 in English and held by 5 WorldCat member libraries worldwide
4 editions published in 2000 in English and held by 5 WorldCat member libraries worldwide
R.C.P. 25 by
Centre national de la recherche scientifique (France)(
Book
)
2 editions published in 1973 in French and held by 5 WorldCat member libraries worldwide
2 editions published in 1973 in French and held by 5 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 5 WorldCat member libraries worldwide
3 editions published in 2011 in English and held by 5 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
Studies in mathematical physics : essays in honour of Valentine Bargmann by
Elliott H Lieb(
Book
)
3 editions published in 1976 in English and held by 4 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
3 editions published in 1976 in English and held by 4 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 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
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Audience Level
0 

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Kids  General  Special 
Related Identities
 Thirring, Walter E. 1927 Author Editor
 Loss, Michael 1954 Editor
 Mattis, Daniel Charles 1932 Editor
 Seiringer, Robert
 Solovej, Jan Philip Editor
 Jakob Yngvason Editor
 Wightman, A. S. (Arthur Strong) 19222013 Editor
 Simon, Barry 1946 Editor
 Bargmann, V. (Valentine) 19081989 Dedicatee
 Nachtergaele, Bruno
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 optimization Mathematical physics Mathematics MatterProperties Physics Quantum chemistry Quantum theory Stability Statistical mechanics Statistical physics Structural stability Thermodynamics ThomasFermi theory