Statistical Mechanics

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 3-10
  3. Thermodynamic Limit for Coulomb Systems

    1. Front Matter
      Pages 11-11
    2. J. L. Lebowitz, Elliott H. Lieb
      Pages 13-16
  4. Hard Sphere Virial Coefficients

    1. Front Matter
      Pages 25-25
    2. Sigurd Yves Larsen, John E. Kilpatrick, Elliot H. Lieb, Harry F. Jordan
      Pages 27-28
  5. Zeros of Partition Functions

    1. Front Matter
      Pages 39-39
    2. Ole J. Heilmann, Elliott H. Lieb
      Pages 41-43
    3. Ole J. Heilmann, Elliott H. Lieb
      Pages 45-87
  6. Reflection Positivity

    1. Front Matter
      Pages 121-121
    2. Jürg Fröhlich, Elliott H. Lieb
      Pages 123-125
    3. Jürg Fröhlich, Elliott H. Lieb
      Pages 127-161
    4. Freeman J. Dyson, Elliott H. Lieb, Barry Simon
      Pages 163-211
    5. Jürg Fröhlich, Robert Israel, Elliot H. Lieb, Barry Simon
      Pages 213-246
    6. Jürg Fröhlich, Robert B. Israel, Elliott H. Lieb, Barry Simon
      Pages 247-297

About this book


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.


Coulomb Systems Lattice Crystals Statistical Mechanics entropy phase Transition statistical physics thermodynamics

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 978-3-642-06092-2
  • Online ISBN 978-3-662-10018-9
  • Buy this book on publisher's site