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The Stability of Matter: From Atoms to Stars

Selecta

  • Book
  • © 1991

Overview

Editors:
  1. Walter Thirring

    1. Institut für Theoretische Physik, Universität Wien, Wien, Austria

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Table of contents (38 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    1. Introduction

      • Walter Thirring
      Pages 1-8

  3. Review

    1. Front Matter

      Pages 9-9
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    2. The Stability of Matter: From Atoms to Stars

      • Elliott H. Lieb
      Pages 11-59

  4. Exact Results on Atoms

    1. Front Matter

      Pages 61-61
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    2. Lower bound to the energy of complex atoms

      • Peter Hertel, Elliot H. Lieb, Walter Thirring
      Pages 63-64

    3. Improved Lower Bound on the Indirect Coulomb Energy

      • Stephen Oxford, Elliott H Lieb
      Pages 65-77

    4. Monotonicity of the molecular electronic energy in the nuclear coordinates

      • Elliott H Lieb
      Pages 78-81

    5. Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle

      • Rafael Benguria, Elliott H. Lieb
      Pages 82-85

    6. Atomic and Molecular Negative Ions

      • Elliott H. Lieb
      Pages 86-88

    7. Bound on the maximum negative ionization of atoms and molecules

      • Elliott H. Lieb
      Pages 89-99

    8. Asymptotic Neutrality of Large-Z Ions

      • Elliott H. Lieb, Israel M. Sigal, Barry Simon, Walter Thirring
      Pages 100-102

    9. Universal nature of van der Waals forces for Coulomb systems

      • Elliott H. Lieb, Walter E. Thirring
      Pages 103-109

    10. Approximate Neutrality of Large-Z Ions

      • Elliott H. Lieb, Israel M. Sigal, Barry Simon, Walter Thirring
      Pages 110-119
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Keywords

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.

Editors and Affiliations

  • Institut für Theoretische Physik, Universität Wien, Wien, Austria

    Walter Thirring

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