The Stability of Matter: From Atoms to Stars

Selecta of Elliott H. Lieb

  • Walter Thirring

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Introduction

    1. Walter Thirring
      Pages 1-8
  3. Review

    1. Front Matter
      Pages 9-9
    2. Elliott H. Lieb
      Pages 11-59
  4. Exact Results on Atoms

    1. Front Matter
      Pages 61-61
    2. Peter Hertel, Elliot H. Lieb, Walter Thirring
      Pages 63-64
    3. Stephen Oxford, Elliott H Lieb
      Pages 65-77
    4. Elliott H. Lieb
      Pages 86-88
    5. Elliott H. Lieb, Israel M. Sigal, Barry Simon, Walter Thirring
      Pages 100-102
    6. Elliott H. Lieb, Walter E. Thirring
      Pages 103-109
    7. Elliott H. Lieb, Israel M. Sigal, Barry Simon, Walter Thirring
      Pages 110-119
  5. General Results with Applications to Atoms

  6. Thomas-Fermi and Related Theories

    1. Front Matter
      Pages 189-189
    2. Elliott H. Lieb, Barry Simon
      Pages 231-240
    3. Rafael Benguria, Elliott H. Lieb
      Pages 241-252
    4. R. Benguria, E. H. Lieb
      Pages 253-279
    5. Rafael Benguria, Haim Brezis, Elliott H. Lieb
      Pages 280-293
  7. Stability of Matter

    1. Front Matter
      Pages 321-321
    2. Elliott H. Lieb, Walter E. Thirring
      Pages 323-326
    3. Elliott H. Lieb
      Pages 327-329
    4. Jürg Fröhlich, Elliott H. Lieb, Michael Loss
      Pages 330-349
    5. Elliott H. Lieb, Michael Loss
      Pages 350-361
    6. Elliott H. Lieb, Horng-Tzer Yau
      Pages 390-394
    7. Elliott H. Lieb, Horng-Tzer Yau
      Pages 395-431
    8. Elliott H. Lieb, Horng-Tzer Yau
      Pages 432-434
    9. Joseph G. Conlon, Elliott H. Lieb, Horng-Tzer Yau
      Pages 435-466
    10. Ingrid Daubechies, Elliott H. Lieb
      Pages 467-480
  8. The Thermodynamic Limit for Real Matter with Coulomb Forces

    1. Front Matter
      Pages 481-481
    2. Elliott H. Lieb
      Pages 483-499
    3. J. L. Lebowitz, Elliott H. Lieb
      Pages 500-503
    4. E. H. Lieb, J. L. Lebowitz
      Pages 504-529
    5. Elliott H. Lieb, Heide Narnhofer
      Pages 530-546
  9. Erratum

    1. Elliott H. Lieb, Heide Narnhofer
      Pages 567-567
  10. Back Matter
    Pages 547-565

About this book


With this book, Elliott Lieb joins his peers Hermann Weyl and Chen Ning Yang. Weyl's Selecta was published in 1956, Yang's Selected Papers in 1983. Lieb's "Selecta", like its predecessors, gives us the essence of a great mathema­ tical physicist concentrated into one convenient volume. Weyl, Yang and Lieb have much more in common than the accident of this manner of publication. They have in common a style and a tradition. Each of them is master of a for­ midable mathematical technique. Each of them uses hard mathematical ana­ lysis to reach an understanding of physical laws. Each of them enriches both physics and mathematics by finding new mathematical depths in the description of familiar physical processes. The central theme of Weyl's work in mathematical physics was the idea of symmetry, linking physical invariance-principles with the mathematics of group-theory. One of Yang's central themes is the idea of a gauge field, linking physical interactions with the mathematics of fibre-bundles. The central theme of Lieb's papers collected in this book is the classical Thomas-Fermi model of an atom, linking the physical stability of matter with the mathematics of func­ tional analysis. In all three cases, a rather simple physical idea provided the starting-point for building a grand and beautiful mathematical structure. Weyl, Yang and Lieb were not content with merely solving a problem. Each of them was concerned with understanding the deep mathematical roots out of which physical phenomena grow.


Hamiltonian Mathematische Methoden Potential Thomas-Fermi Theory eigenvalue electron functional analysis kinetic energy magnetic field mathematical method mathematical physics mechanics quantum electrodynamics quantum mechanics thermodynamics

Editors and affiliations

  • Walter Thirring
    • 1
  1. 1.Institut für Theoretische PhysikUniversität WienWienAustria

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-02727-1
  • Online ISBN 978-3-662-02725-7
  • Buy this book on publisher's site