The Resource Condensed matter physics and exactly soluble models : selecta of Elliott H. Lieb, edited by B. Nachtergaele, J.P. Solovej, and J. Yngvason

Condensed matter physics and exactly soluble models : selecta of Elliott H. Lieb, edited by B. Nachtergaele, J.P. Solovej, and J. Yngvason

Label
Condensed matter physics and exactly soluble models : selecta of Elliott H. Lieb
Title
Condensed matter physics and exactly soluble models
Title remainder
selecta of Elliott H. Lieb
Statement of responsibility
edited by B. Nachtergaele, J.P. Solovej, and J. Yngvason
Creator
Contributor
Subject
Genre
Language
eng
Summary
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 well-defined 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
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Lieb, Elliott H
Dewey number
530.4'1'0151
Illustrations
illustrations
Index
no index present
LC call number
QC173.454
LC item number
.L54 2004eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Nachtergaele, Bruno
  • Solovej, Jan Philip
  • Jakob Yngvason
http://library.link/vocab/subjectName
  • Condensed matter
  • Condensed matter
  • Vastestoffysica
  • Modellen
  • Lieb, Elliott H
  • Kondensierte Materie
  • Mathematisches Modell
  • Condensed matter
  • Condensed matter
Label
Condensed matter physics and exactly soluble models : selecta of Elliott H. Lieb, edited by B. Nachtergaele, J.P. Solovej, and J. Yngvason
Link
http://dx.doi.org/10.1007/978-3-662-06390-3
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
  • Includes bibliographical references
  • "Publications of Elliott H. Lieb": pages 657-675
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
A Survey by the Editors -- I.1 Violation of the Noncrossing Rule: The Hubbard Hamiltonian for Benzene -- I.2 Two Theorems on the Hubbard Model -- I.3 The Hubbard Model: Some Rigorous Results and Open Problems -- I.4 Flux Phase of the Half-Filled Band -- II.1 Proof of the Peierls Instability in One Dimension -- II.2 Stability of the Peierls Instability for Ring Shaped Molecules -- III.1 A Model for Crystallization: A Variation on the Hubbard Model -- III.2 Phase Separation due to Quantum Mechanical Correlations -- IV.1 Theory of Ferromagnetism and the Ordering of Electronic Energy Levels -- IV.2 Ordering Energy Levels of Interacting Spin Systems -- IV.3 Magnetic Properties of Some Itinerant-Electron Systems at T > 0 -- V.1 Phase Transitions in Reservoir-Driven Open Systems with Applications to Lasers and Superconductors -- V.2 Equilibrium Statistical Mechanics of Matter Interacting with the Quantized Radiation Field -- V.3 Constructive Macroscopic Quantum Electrodynamics -- V.4 The Laser: A Reversible Quantum Dynamical System with Irreversible Classical Macroscopic Motion -- VI.1 A Proof of Part of Haldane's Conjecture on Spin Chains -- VI.2 Rigorous Results on Valence-Bond Ground States in Antiferromagnets -- VI.3 Valence Bond Ground States in Isotropic Quantum Antiferromagnets -- VI.4 Ground State Properties of a Fully Frustrated Quantum Spin System -- VII.1 Exact Ground State Energy of the Strong-Coupling Polaron -- VIII.1 Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas -- VIII.2 Bose-Einstein Quantum Phase Transition in an Optical Lattice Model -- VIII.3 The Quantum-Mechanical Many-Body Problem: The Bose Gas -- Some of the Early History of Exactly Soluble Models -- IX.1 Exact Solution of the Problem of the Entropy of Two-Dimensional Ice -- IX.2 Exact Solution of the F Model of an Antiferroelectric -- IX.3 Exact Solution of the Two-Dimensional Slater KDP Model of a Ferroelectric -- IX.4 Residual Entropy of Square Ice -- IX.5 Two-Dimensional Ferroelectric Models -- IX.6 Relations Between the 'Percolation' and 'Colouring' Problem and Other Graph-Theoretical Problems Associated with Regular Planar Lattices: Some Exact Results for the 'Percolation' Problem -- IX.7 Analytic Properties of the Free Energy for the 'Ice' Models -- X.1 Two-Dimensional Ising Model as a Soluble Problem of Many Fermions -- X.2 Solution of the Dimer Problem by the Transfer Matrix Method -- XI.1 Two Soluble Models of an Antiferromagnetic Chain -- XII.1 Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State -- XII.2 Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum -- XIII.1 Delta-Function Fermi Gas with Two-Spin Deviates -- XIII.2 Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model on One Dimension -- XIV.1 Exact Solution of a Many-Fermion System and Its Associated Boson Field -- Selecta of Elliott H. Lieb -- Publications of Elliott H. Lieb
Dimensions
unknown
Extent
1 online resource (ix, 675 pages)
File format
unknown
Form of item
online
Isbn
9783642060939
Isbn Type
(print)
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-662-06390-3
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)861706589
  • (OCoLC)ocn861706589
Label
Condensed matter physics and exactly soluble models : selecta of Elliott H. Lieb, edited by B. Nachtergaele, J.P. Solovej, and J. Yngvason
Link
http://dx.doi.org/10.1007/978-3-662-06390-3
Publication
Copyright
Antecedent source
unknown
Bibliography note
  • Includes bibliographical references
  • "Publications of Elliott H. Lieb": pages 657-675
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
A Survey by the Editors -- I.1 Violation of the Noncrossing Rule: The Hubbard Hamiltonian for Benzene -- I.2 Two Theorems on the Hubbard Model -- I.3 The Hubbard Model: Some Rigorous Results and Open Problems -- I.4 Flux Phase of the Half-Filled Band -- II.1 Proof of the Peierls Instability in One Dimension -- II.2 Stability of the Peierls Instability for Ring Shaped Molecules -- III.1 A Model for Crystallization: A Variation on the Hubbard Model -- III.2 Phase Separation due to Quantum Mechanical Correlations -- IV.1 Theory of Ferromagnetism and the Ordering of Electronic Energy Levels -- IV.2 Ordering Energy Levels of Interacting Spin Systems -- IV.3 Magnetic Properties of Some Itinerant-Electron Systems at T > 0 -- V.1 Phase Transitions in Reservoir-Driven Open Systems with Applications to Lasers and Superconductors -- V.2 Equilibrium Statistical Mechanics of Matter Interacting with the Quantized Radiation Field -- V.3 Constructive Macroscopic Quantum Electrodynamics -- V.4 The Laser: A Reversible Quantum Dynamical System with Irreversible Classical Macroscopic Motion -- VI.1 A Proof of Part of Haldane's Conjecture on Spin Chains -- VI.2 Rigorous Results on Valence-Bond Ground States in Antiferromagnets -- VI.3 Valence Bond Ground States in Isotropic Quantum Antiferromagnets -- VI.4 Ground State Properties of a Fully Frustrated Quantum Spin System -- VII.1 Exact Ground State Energy of the Strong-Coupling Polaron -- VIII.1 Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas -- VIII.2 Bose-Einstein Quantum Phase Transition in an Optical Lattice Model -- VIII.3 The Quantum-Mechanical Many-Body Problem: The Bose Gas -- Some of the Early History of Exactly Soluble Models -- IX.1 Exact Solution of the Problem of the Entropy of Two-Dimensional Ice -- IX.2 Exact Solution of the F Model of an Antiferroelectric -- IX.3 Exact Solution of the Two-Dimensional Slater KDP Model of a Ferroelectric -- IX.4 Residual Entropy of Square Ice -- IX.5 Two-Dimensional Ferroelectric Models -- IX.6 Relations Between the 'Percolation' and 'Colouring' Problem and Other Graph-Theoretical Problems Associated with Regular Planar Lattices: Some Exact Results for the 'Percolation' Problem -- IX.7 Analytic Properties of the Free Energy for the 'Ice' Models -- X.1 Two-Dimensional Ising Model as a Soluble Problem of Many Fermions -- X.2 Solution of the Dimer Problem by the Transfer Matrix Method -- XI.1 Two Soluble Models of an Antiferromagnetic Chain -- XII.1 Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State -- XII.2 Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum -- XIII.1 Delta-Function Fermi Gas with Two-Spin Deviates -- XIII.2 Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model on One Dimension -- XIV.1 Exact Solution of a Many-Fermion System and Its Associated Boson Field -- Selecta of Elliott H. Lieb -- Publications of Elliott H. Lieb
Dimensions
unknown
Extent
1 online resource (ix, 675 pages)
File format
unknown
Form of item
online
Isbn
9783642060939
Isbn Type
(print)
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-662-06390-3
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)861706589
  • (OCoLC)ocn861706589

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