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The Stability of Matter: From Atoms to Stars

Selecta of Elliott H. Lieb

  • Elliott H. Lieb
  • Walter Thirring

Table of contents

  1. Front Matter
    Pages I-XV
  2. Pages 1-8
  3. Review

    1. Elliott H. Lieb
      Pages 11-59
  4. Exact Results on Atoms

    1. Peter Hertel, Elliot H. Lieb, Walter Thirring
      Pages 63-64
    2. Elliott H. Lieb, Stephen Oxford
      Pages 65-77
    3. Elliott H Lieb
      Pages 79-82
    4. Elliott H. Lieb
      Pages 87-89
    5. Elliott H. Lieb, Israel M. Sigal, Barry Simon, Walter Thirring
      Pages 103-112
    6. Elliott H. Lieb, Walter E. Thirring
      Pages 113-119
    7. Ole J. Heilmann, Elliott H. Lieb
      Pages 121-126
    8. Alexei Iantchenko, Elliott H. Lieb, Heinz Siedentop
      Pages 127-145
    9. Elliott H. Lieb, Jan Philip Solovej, Jakob Yngvason
      Pages 147-169
    10. Elliott H. Lieb, Jan Philip Solovej, Jakob Yngvason
      Pages 171-190
  5. General Results with Applications to Atoms

  6. Thomas-Fermi and Related Theories

    1. Elliott H. Lieb, Barry Simon
      Pages 303-312
    2. Volker Bach, Élliott H. Lieb, Michael Loss, Jan Philip Solovej
      Pages 313-315
    3. Rafael Benguria, Elliott H. Lieb
      Pages 317-328
    4. R. Benguria, E. H. Lieb
      Pages 329-355
    5. Rafael Benguria, Haim Brezis, Elliott H. Lieb
      Pages 357-370
  7. Stability of Matter

    1. Elliott H. Lieb, Walter E. Thirring
      Pages 401-404
    2. Jürg Fröhlich, Elliott H. Lieb, Michael Loss
      Pages 405-424
    3. Elliott H. Lieb, Michael Loss
      Pages 425-436
    4. Elliott H. Lieb, Michael Loss, Jan Philip Solovej
      Pages 437-441
    5. Ingrid Daubechies, Elliott H. Lieb
      Pages 471-484
    6. Elliott H. Lieb, Horng-Tzer Yau
      Pages 485-521
    7. Elliott H. Lieb, Michael Loss, Heinz Siedentop
      Pages 523-533
    8. Elliott H. Lieb, Heinz Siedentop, Jan Philip Solovej
      Pages 535-557
  8. The Thermodynamic Limit for Real Matter with Coulomb Forces

    1. Elliott H. Lieb
      Pages 561-577
    2. J. L. Lebowitz, Elliott H. Lieb
      Pages 579-582
    3. Elliott H. Lieb, Heide Narnhofer
      Pages 583-603
  9. Quantum Electrodynamics

    1. Elliott H. Lieb, Michael Loss
      Pages 607-623
    2. Marcel Griesemer, Elliott H. Lieb, Michael Loss
      Pages 625-663
    3. Elliott H. Lieb, Michael Loss
      Pages 723-750
  10. Bosonic Systems

    1. Pages 753-754
    2. Elliolt H. Lieb, Jakob Yngvason
      Pages 755-758
    3. Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
      Pages 759-771
    4. Elliott H. Lieb
      Pages 773-775
    5. Joseph G. Conlon, Elliott H. Lieb, Horng-Tzer Yau
      Pages 777-808

About this book

Introduction

This collection of papers -- starting with a brilliant article by one of the masters of the field -- gives an excellent current review of our knowledge of matter. Partially basing his own work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. Here the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text or recommended reading for a graduate course in quantum mechanics. In the third edition, two new sections were added: one contains papers on quantum electrodynamics, and the other on Boson systems. In this fourth edition, these topics have been further developed, extending the book by approximately 120 pages.

Keywords

Boson System Mathematische Methoden Mathematische Physik Potential QED Thermodynamic Limit Thomas-Fermi Theory calculus quantum mechanics

Authors and affiliations

  • Elliott H. Lieb
    • 1
  1. 1.Departments of Mathematics and Physics Jadwin HallPrinceton UniversityPrincetonUSA

Editors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/b138553
  • Copyright Information Springer-Verlag Berlin Heidelberg New York 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-22212-5
  • Online ISBN 978-3-540-27056-0
  • Buy this book on publisher's site