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The Stability of Matter: From Atoms to Stars

Selecta of Elliott H. Lieb

  • Walter Thirring

Table of contents

  1. Front Matter
    Pages I-XIII
  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. Elliott H. Lieb, Stephen Oxford
      Pages 65-77
    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. Front Matter
      Pages 261-261
    2. Elliott H. Lieb, Barry Simon
      Pages 303-312
    3. Volker Bach, Elliott H. Lieb, Michael Loss, Jan Philip Solovej
      Pages 313-315
    4. Rafael Benguria, Elliott H. Lieb
      Pages 317-328
    5. R. Benguria, E. H. Lieb
      Pages 329-354
    6. Rafael Benguria, Haim Brezis, Elliott H. Lieb
      Pages 357-370
  7. Stability of Matter

    1. Front Matter
      Pages 399-399
    2. Elliott H. Lieb, Walter E. Thirring
      Pages 401-404
    3. Jürg Fröhlich, Elliott H. Lieb, Michael Loss
      Pages 405-424
    4. Elliott H. Lieb, Michael Loss
      Pages 425-436
    5. Elliott H. Lieb, Michael Loss, Jan Philip Solovej
      Pages 437-441
    6. Ingrid Daubechies, Elliott H. Lieb
      Pages 471-484
    7. Elliott H. Lieb, Horng-Tzer Yau
      Pages 485-521
    8. Elliott H. Lieb, Michael Loss, Heinz Siedentop
      Pages 523-533
    9. Elliott H. Lieb, Heinz Siedentop, Jan Philip Solovej
      Pages 535-557
  8. The Thermodynamic Limit for Real Matter with Coulomb Forces

    1. Front Matter
      Pages 559-559
    2. Elliott H. Lieb
      Pages 561-577
    3. J. L. Lebowitz, Elliott H. Lieb
      Pages 579-582
    4. Elliott H. Lieb, Heide Narnhofer
      Pages 583-602
  9. Quantum Electrodynamics

    1. Front Matter
      Pages 605-605
    2. Elliott H. Lieb, Michael Loss
      Pages 607-623
    3. Elliott H. Lieb, Heinz Siedentop
      Pages 625-635
    4. Marcel Griesemer, Elliott H. Lieb, Michael Loss
      Pages 637-675

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 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. In this collection 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 for a graduate course in quantum mechanics. In this new edition two new sections have been added: Section 7 contains papers on quantum electrodynamics, and Section 8 on Boson systems. .

Keywords

Boson System Mathematische Methoden Mathematische Physik QED Thermodynamic Limit Thomas-Fermi Theory functional analysis quantum mechanics

Editors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-04360-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-04362-2
  • Online ISBN 978-3-662-04360-8
  • Buy this book on publisher's site