Condensed Matter Physics and Exactly Soluble Models

Selecta of Elliott H. Lieb

  • Bruno Nachtergaele
  • Jan Philip Solovej
  • Jakob Yngvason

Table of contents

  1. Front Matter
    Pages I-IX
  2. Commentaries

    1. Front Matter
      Pages 1-1
    2. Bruno Nachtergaele, Jan Philip Solovej, Jakob Yngvason
      Pages 3-16
  3. Condensed Matter Physics

    1. Front Matter
      Pages 17-17
    2. Correlated Electrons

      1. Ole J. Heilmann, Elliott H. Liebt
        Pages 21-54
      2. Elliott H. Lieb
        Pages 55-58
      3. Elliott H. Lieb
        Pages 79-82
    3. Peierls Instability

      1. Tom Kennedy, Elliott H. Lieb
        Pages 85-88
      2. Elliott H. Lieb, Bruno Nachtergaele
        Pages 89-103
    4. Falicov—Kimball Mode

      1. James K. Freericks, Elliott H. Lieb, Daniel Ueltschi
        Pages 119-122
    5. Ordering of Energy Levels

      1. Elliott Lieb, Daniel Matris
        Pages 135-137
      2. Michael Aizenman, Elliott H. Lieb
        Pages 139-142
    6. Laser Models

    7. Quantum Spin Systems

      1. Ian Affleck, Elliott H. Lieb
        Pages 235-247
      2. Ian Affleck, Tom Kennedy, Elliott H. Lieb, Hal Tasaki
        Pages 249-252
      3. Ian Affleck, Tom Kennedy, Elliott H. Lieb, Hal Tasaki
        Pages 253-304
      4. Elliott H. Lieb, Peter Schupp
        Pages 305-308
    8. The Polaron

      1. Elliott H. Lieb, Lawrence E. Thomas
        Pages 311-321
    9. Interacting Bosonss

      1. Michael Aizenman, Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason
        Pages 337-349
      2. Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason
        Pages 351-435
  4. Exactly Soluble Models

    1. Front Matter
      Pages 437-437
    2. The Six-Vertex Ice Type Models

    3. Ising and Dimer Models

      1. T. D. Schultz, D. C. Mattis, E. H. Lieb
        Pages 521-536
    4. Spin Chains

      1. Elliott Lieb, Theodore Schultz, Daniel Mattis
        Pages 543-601
    5. Delta Function Bose Gas

    6. One-Dimensional Hubbard Model

    7. Luttinger Model

      1. Daniel C. Mattis, Elliott H. Lieb
        Pages 645-653
  5. Back Matter
    Pages 655-675

About this book


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.


Bose Gas Bose-Einstein Condensation Exactly Soluble Models Helium-Atom-Streuung Hubbard Model Integrabe Models Ising Model Peirls Instability Polaron Quantum Spin Systems Spin Chain molecule

Editors and affiliations

  • Bruno Nachtergaele
    • 1
  • Jan Philip Solovej
    • 2
  • Jakob Yngvason
    • 3
  1. 1.Department of MathematicsUniversity of CaliforniaDavisUSA
  2. 2.Department of MathematicsUniversity of CopenhagenCopenhagenDenmark
  3. 3.Institut für Theoretische PhysikUniversität WienWienAustria

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-06093-9
  • Online ISBN 978-3-662-06390-3
  • Buy this book on publisher's site
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