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Condensed Matter Physics and Exactly Soluble Models

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Cover of 'Condensed Matter Physics and Exactly Soluble Models'

Table of Contents

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    Book Overview
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    Chapter 1 A Survey by the Editors
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    Chapter 2 Violation of the Noncrossing Rule: The Hubbard Hamiltonian for Benzene
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    Chapter 3 Two Theorems on the Hubbard Model
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    Chapter 4 The Hubbard model: Some Rigorous Results and Open Problems
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    Chapter 5 Flux Phase of the Half-Filled Band
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    Chapter 6 Proof of the Peierls Instability in One Dimension
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    Chapter 7 Stability of the Peierls instability for ring-shaped molecules
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    Chapter 8 A Model for Crystallization: A Variation on the Hubbard Model
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    Chapter 9 Phase Separation due to Quantum Mechanical Correlations
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    Chapter 10 Theory of Ferromagnetism and the Ordering of Electronic Energy Levels
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    Chapter 11 Ordering Energy Levels of Interacting Spin Systems
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    Chapter 12 Magnetic Properties of Some Itinerant-Electron Systems at T > 0
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    Chapter 13 Phase Transitions in Reservoir-Driven Open Systems with Applications to Lasers and Superconductors
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    Chapter 14 Equilibrium Statistical Mechanics of Matter Interacting with the Quantized Radiation Field
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    Chapter 15 Constructive Macroscopic Quantum Electrodynamics
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    Chapter 16 The Laser: A Reversible Quantum Dynamical System with Irreversible Classical Macroscopic Motion
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    Chapter 17 A Proof of Part of Haldane’s Conjecture on Spin Chains
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    Chapter 18 Rigorous Results on Valence-Bond Ground States in Antiferromagnets
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    Chapter 19 Valence Bond Ground States in Isotropic Quantum Antiferromagnets
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    Chapter 20 Ground State Properties of a Fully Frustrated Quantum Spin System
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    Chapter 21 Exact Ground State Energy of the Strong-Coupling Polaron
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    Chapter 22 Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas
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    Chapter 23 Bose-Einstein quantum phase transition in an optical lattice model
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    Chapter 24 The Quantum-Mechanical Many-Body Problem: The Bose Gas
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    Chapter 25 Some of the Early History of Exactly Soluble Models
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    Chapter 26 Exact Solution of the Problem of the Entropy of Two-Dimensional Ice
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    Chapter 27 Exact Solution of the F Model of an Antiferroelectric
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    Chapter 28 Exact Solution of the Two-Dimensional Slater KDP Model of a Ferroelectric
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    Chapter 29 Residual Entropy of Square Ice
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    Chapter 30 Two-Dimensional Ferroelectric Models
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    Chapter 31 Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
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    Chapter 32 Analytic Properties of the Free Energy for the “Ice” Models
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    Chapter 33 Two-Dimensional Ising Model as a Soluble Problem of Many Fermions
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    Chapter 34 Solution of the Dimer Problem by the Transfer Matrix Method
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    Chapter 35 Two Soluble Models of an Antiferromagnetic Chain
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    Chapter 36 Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
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    Chapter 37 Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum
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    Chapter 38 Delta-Function Fermi Gas with Two-Spin Deviates
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    Chapter 39 Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
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    Chapter 40 Exact Solution of a Many-Fermion System and Its Associated Boson Field
Attention for Chapter 19: Valence Bond Ground States in Isotropic Quantum Antiferromagnets
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Chapter title
Valence Bond Ground States in Isotropic Quantum Antiferromagnets
Chapter number 19
Book title
Condensed Matter Physics and Exactly Soluble Models
Published by
Springer, Berlin, Heidelberg, January 1988
DOI 10.1007/978-3-662-06390-3_19
Book ISBNs
978-3-64-206093-9, 978-3-66-206390-3
Authors

Ian Affleck, Tom Kennedy, Elliott H. Lieb, Hal Tasaki, Affleck, Ian, Kennedy, Tom, Lieb, Elliott H., Tasaki, Hal

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The data shown below were compiled from readership statistics for 10 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 10 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 4 40%
Student > Bachelor 2 20%
Researcher 1 10%
Other 1 10%
Unknown 2 20%
Readers by discipline Count As %
Physics and Astronomy 7 70%
Computer Science 1 10%
Unknown 2 20%