Condensed Matter Physics and Exactly Soluble Models

Selecta of Elliott H. Lieb

Inbunden, Engelska, 2004

AvElliott H. Lieb,Bruno Nachtergaele,Jan Philip Solovej,Jakob Yngvason

1 499 kr

Beställningsvara. Skickas inom 7-10 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Häftad

1 529 kr

Skickas inom 10-15 vardagar

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.

Produktinformation

Utgivningsdatum2004-11-29
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
Antal sidor675
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540222989

Tillhör följande kategorier

Materietillstånd inom Naturvetenskap och teknik

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 ofthe 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.

Mer från samma författare

The Stability of Matter in Quantum Mechanics

Elliott H. Lieb, Robert Seiringer, New Jersey) Lieb, Elliott H. (Princeton University, Montreal) Seiringer, Robert (McGill University, North Atlantic Treaty Organization

Inbunden

789 kr

Studies in Mathematical Physics

Elliott H. Lieb

Häftad

1 889 kr

Studies in Mathematical Physics

Elliott H. Lieb

Inbunden

4 969 kr

Analysis

Elliott H. Lieb, Michael Loss

Inbunden

1 469 kr

Ionospheric Tomography

Viacheslav E. Kunitsyn, Evgeni D. Tereshchenko, V. E. Kunitsyn, Elliott H. Lieb

Inbunden

2 089 kr

Stability of Matter: From Atoms to Stars

Elliott H. Lieb, Walter Thirring

Inbunden

2 699 kr

Inequalities

Elliott H. Lieb, Michael Loss, M. B. Ruskai

Inbunden

2 029 kr

Inequalities

Elliott H. Lieb, Michael Loss, M. B. Ruskai

Häftad

2 029 kr

Mathematics of the Bose Gas and its Condensation

Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason

Häftad

579 kr

Du kanske också är intresserad av